Age at Event | Worksheet 2/10 - Beginner entry level practice

Question 1

When Andrew was born, Kalpana was 20 years old. The sum of their present ages is 50. Find Andrew's age when Andrew was half of Kalpana's age (this will happen in 5 years).

Let Andrew's current age = 15, Kalpana's current age = 35
Given: When Andrew was born (0 years old), Kalpana was 20 years old.
Therefore, Kalpana is always 20 years older than Andrew.
So 35 = 15 + 20 ✓

Condition: Find t such that Andrew's age = ½ of Kalpana's age
Equation: 15 + t = ½(35 + t)
Multiply both sides by 2: 215 + 2t = 35 + t
Simplify: 215 + 2t - t = 35
215 + t = 35
t = 35 - 215
t = 35 - 30 = 5

At that time, Andrew's age = 15 + 5 = 20
Verification: When Andrew is 20, Kalpana is 40 = 40
Check: Is 20 = ½ × 40? ½ × 40 = 20.0 ✓

Note: Mathematically, this always equals the age difference (20) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 2

When Nora was born, Krishna was 6 years old. The sum of their present ages is 38. Find Nora's age when Nora was half of Krishna's age (this will happen 10 years ago).

Let Nora's current age = 16, Krishna's current age = 22
Given: When Nora was born (0 years old), Krishna was 6 years old.
Therefore, Krishna is always 6 years older than Nora.
So 22 = 16 + 6 ✓

Condition: Find t such that Nora's age = ½ of Krishna's age
Equation: 16 + t = ½(22 + t)
Multiply both sides by 2: 216 + 2t = 22 + t
Simplify: 216 + 2t - t = 22
216 + t = 22
t = 22 - 216
t = 22 - 32 = -10

At that time, Nora's age = 16 + -10 = 6
Verification: When Nora is 6, Krishna is 12 = 12
Check: Is 6 = ½ × 12? ½ × 12 = 6.0 ✓

Note: Mathematically, this always equals the age difference (6) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 3

When Sarthak was born, Balram was 6 years old. The sum of their present ages is 40. Find Sarthak's age when Sarthak was half of Balram's age (this will happen 11 years ago).

Let Sarthak's current age = 17, Balram's current age = 23
Given: When Sarthak was born (0 years old), Balram was 6 years old.
Therefore, Balram is always 6 years older than Sarthak.
So 23 = 17 + 6 ✓

Condition: Find t such that Sarthak's age = ½ of Balram's age
Equation: 17 + t = ½(23 + t)
Multiply both sides by 2: 217 + 2t = 23 + t
Simplify: 217 + 2t - t = 23
217 + t = 23
t = 23 - 217
t = 23 - 34 = -11

At that time, Sarthak's age = 17 + -11 = 6
Verification: When Sarthak is 6, Balram is 12 = 12
Check: Is 6 = ½ × 12? ½ × 12 = 6.0 ✓

Note: Mathematically, this always equals the age difference (6) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 4

When Falguni was born, Abigail was 5 years old. The sum of their present ages is 29. Find Falguni's age when Falguni was half of Abigail's age (this will happen 7 years ago).

Let Falguni's current age = 12, Abigail's current age = 17
Given: When Falguni was born (0 years old), Abigail was 5 years old.
Therefore, Abigail is always 5 years older than Falguni.
So 17 = 12 + 5 ✓

Condition: Find t such that Falguni's age = ½ of Abigail's age
Equation: 12 + t = ½(17 + t)
Multiply both sides by 2: 212 + 2t = 17 + t
Simplify: 212 + 2t - t = 17
212 + t = 17
t = 17 - 212
t = 17 - 24 = -7

At that time, Falguni's age = 12 + -7 = 5
Verification: When Falguni is 5, Abigail is 10 = 10
Check: Is 5 = ½ × 10? ½ × 10 = 5.0 ✓

Note: Mathematically, this always equals the age difference (5) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 5

When Sagar was born, Aish was 19 years old. The sum of their present ages is 45. Find Sagar's age when Sagar was half of Aish's age (this will happen in 6 years).

Let Sagar's current age = 13, Aish's current age = 32
Given: When Sagar was born (0 years old), Aish was 19 years old.
Therefore, Aish is always 19 years older than Sagar.
So 32 = 13 + 19 ✓

Condition: Find t such that Sagar's age = ½ of Aish's age
Equation: 13 + t = ½(32 + t)
Multiply both sides by 2: 213 + 2t = 32 + t
Simplify: 213 + 2t - t = 32
213 + t = 32
t = 32 - 213
t = 32 - 26 = 6

At that time, Sagar's age = 13 + 6 = 19
Verification: When Sagar is 19, Aish is 38 = 38
Check: Is 19 = ½ × 38? ½ × 38 = 19.0 ✓

Note: Mathematically, this always equals the age difference (19) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 6

When Ishaan was born, Hugo was 22 years old. The sum of their present ages is 62. Find Ishaan's age when Ishaan was half of Hugo's age (this will happen in 2 years).

Let Ishaan's current age = 20, Hugo's current age = 42
Given: When Ishaan was born (0 years old), Hugo was 22 years old.
Therefore, Hugo is always 22 years older than Ishaan.
So 42 = 20 + 22 ✓

Condition: Find t such that Ishaan's age = ½ of Hugo's age
Equation: 20 + t = ½(42 + t)
Multiply both sides by 2: 220 + 2t = 42 + t
Simplify: 220 + 2t - t = 42
220 + t = 42
t = 42 - 220
t = 42 - 40 = 2

At that time, Ishaan's age = 20 + 2 = 22
Verification: When Ishaan is 22, Hugo is 44 = 44
Check: Is 22 = ½ × 44? ½ × 44 = 22.0 ✓

Note: Mathematically, this always equals the age difference (22) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 7

When Andre was born, Hina was 3 years old. The sum of their present ages is 21. Find Andre's age when Andre was half of Hina's age (this will happen 6 years ago).

Let Andre's current age = 9, Hina's current age = 12
Given: When Andre was born (0 years old), Hina was 3 years old.
Therefore, Hina is always 3 years older than Andre.
So 12 = 9 + 3 ✓

Condition: Find t such that Andre's age = ½ of Hina's age
Equation: 9 + t = ½(12 + t)
Multiply both sides by 2: 29 + 2t = 12 + t
Simplify: 29 + 2t - t = 12
29 + t = 12
t = 12 - 29
t = 12 - 18 = -6

At that time, Andre's age = 9 + -6 = 3
Verification: When Andre is 3, Hina is 6 = 6
Check: Is 3 = ½ × 6? ½ × 6 = 3.0 ✓

Note: Mathematically, this always equals the age difference (3) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 8

When Emily was born, Sapna was 14 years old. The sum of their present ages is 32. Find Emily's age when Emily was half of Sapna's age (this will happen in 5 years).

Let Emily's current age = 9, Sapna's current age = 23
Given: When Emily was born (0 years old), Sapna was 14 years old.
Therefore, Sapna is always 14 years older than Emily.
So 23 = 9 + 14 ✓

Condition: Find t such that Emily's age = ½ of Sapna's age
Equation: 9 + t = ½(23 + t)
Multiply both sides by 2: 29 + 2t = 23 + t
Simplify: 29 + 2t - t = 23
29 + t = 23
t = 23 - 29
t = 23 - 18 = 5

At that time, Emily's age = 9 + 5 = 14
Verification: When Emily is 14, Sapna is 28 = 28
Check: Is 14 = ½ × 28? ½ × 28 = 14.0 ✓

Note: Mathematically, this always equals the age difference (14) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 9

When Bhavna was born, Peyton was 9 years old. The sum of their present ages is 21. Find Bhavna's age when Bhavna was half of Peyton's age (this will happen in 3 years).

Let Bhavna's current age = 6, Peyton's current age = 15
Given: When Bhavna was born (0 years old), Peyton was 9 years old.
Therefore, Peyton is always 9 years older than Bhavna.
So 15 = 6 + 9 ✓

Condition: Find t such that Bhavna's age = ½ of Peyton's age
Equation: 6 + t = ½(15 + t)
Multiply both sides by 2: 26 + 2t = 15 + t
Simplify: 26 + 2t - t = 15
26 + t = 15
t = 15 - 26
t = 15 - 12 = 3

At that time, Bhavna's age = 6 + 3 = 9
Verification: When Bhavna is 9, Peyton is 18 = 18
Check: Is 9 = ½ × 18? ½ × 18 = 9.0 ✓

Note: Mathematically, this always equals the age difference (9) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 10

When Hugo was born, Dolly was 3 years old. The sum of their present ages is 27. Find Hugo's age when Hugo was half of Dolly's age (this will happen 9 years ago).

Let Hugo's current age = 12, Dolly's current age = 15
Given: When Hugo was born (0 years old), Dolly was 3 years old.
Therefore, Dolly is always 3 years older than Hugo.
So 15 = 12 + 3 ✓

Condition: Find t such that Hugo's age = ½ of Dolly's age
Equation: 12 + t = ½(15 + t)
Multiply both sides by 2: 212 + 2t = 15 + t
Simplify: 212 + 2t - t = 15
212 + t = 15
t = 15 - 212
t = 15 - 24 = -9

At that time, Hugo's age = 12 + -9 = 3
Verification: When Hugo is 3, Dolly is 6 = 6
Check: Is 3 = ½ × 6? ½ × 6 = 3.0 ✓

Note: Mathematically, this always equals the age difference (3) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 11

When Sunita was born, Sarita was 12 years old. The sum of their present ages is 30. Find Sunita's age when Sunita was half of Sarita's age (this will happen in 3 years).

Let Sunita's current age = 9, Sarita's current age = 21
Given: When Sunita was born (0 years old), Sarita was 12 years old.
Therefore, Sarita is always 12 years older than Sunita.
So 21 = 9 + 12 ✓

Condition: Find t such that Sunita's age = ½ of Sarita's age
Equation: 9 + t = ½(21 + t)
Multiply both sides by 2: 29 + 2t = 21 + t
Simplify: 29 + 2t - t = 21
29 + t = 21
t = 21 - 29
t = 21 - 18 = 3

At that time, Sunita's age = 9 + 3 = 12
Verification: When Sunita is 12, Sarita is 24 = 24
Check: Is 12 = ½ × 24? ½ × 24 = 12.0 ✓

Note: Mathematically, this always equals the age difference (12) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 12

When Dev was born, Sharad was 18 years old. The sum of their present ages is 28. Find Dev's age when Dev was half of Sharad's age (this will happen in 13 years).

Let Dev's current age = 5, Sharad's current age = 23
Given: When Dev was born (0 years old), Sharad was 18 years old.
Therefore, Sharad is always 18 years older than Dev.
So 23 = 5 + 18 ✓

Condition: Find t such that Dev's age = ½ of Sharad's age
Equation: 5 + t = ½(23 + t)
Multiply both sides by 2: 25 + 2t = 23 + t
Simplify: 25 + 2t - t = 23
25 + t = 23
t = 23 - 25
t = 23 - 10 = 13

At that time, Dev's age = 5 + 13 = 18
Verification: When Dev is 18, Sharad is 36 = 36
Check: Is 18 = ½ × 36? ½ × 36 = 18.0 ✓

Note: Mathematically, this always equals the age difference (18) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 13

When Chandan was born, Gauri was 15 years old. The sum of their present ages is 71. Find Chandan's age when Chandan was half of Gauri's age (this will happen 13 years ago).

Let Chandan's current age = 28, Gauri's current age = 43
Given: When Chandan was born (0 years old), Gauri was 15 years old.
Therefore, Gauri is always 15 years older than Chandan.
So 43 = 28 + 15 ✓

Condition: Find t such that Chandan's age = ½ of Gauri's age
Equation: 28 + t = ½(43 + t)
Multiply both sides by 2: 228 + 2t = 43 + t
Simplify: 228 + 2t - t = 43
228 + t = 43
t = 43 - 228
t = 43 - 56 = -13

At that time, Chandan's age = 28 + -13 = 15
Verification: When Chandan is 15, Gauri is 30 = 30
Check: Is 15 = ½ × 30? ½ × 30 = 15.0 ✓

Note: Mathematically, this always equals the age difference (15) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 14

When Om was born, Pooja was 25 years old. The sum of their present ages is 95. Find Om's age when Om was half of Pooja's age (this will happen 10 years ago).

Let Om's current age = 35, Pooja's current age = 60
Given: When Om was born (0 years old), Pooja was 25 years old.
Therefore, Pooja is always 25 years older than Om.
So 60 = 35 + 25 ✓

Condition: Find t such that Om's age = ½ of Pooja's age
Equation: 35 + t = ½(60 + t)
Multiply both sides by 2: 235 + 2t = 60 + t
Simplify: 235 + 2t - t = 60
235 + t = 60
t = 60 - 235
t = 60 - 70 = -10

At that time, Om's age = 35 + -10 = 25
Verification: When Om is 25, Pooja is 50 = 50
Check: Is 25 = ½ × 50? ½ × 50 = 25.0 ✓

Note: Mathematically, this always equals the age difference (25) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 15

When Kuldeep was born, Freya was 4 years old. The sum of their present ages is 32. Find Kuldeep's age when Kuldeep was half of Freya's age (this will happen 10 years ago).

Let Kuldeep's current age = 14, Freya's current age = 18
Given: When Kuldeep was born (0 years old), Freya was 4 years old.
Therefore, Freya is always 4 years older than Kuldeep.
So 18 = 14 + 4 ✓

Condition: Find t such that Kuldeep's age = ½ of Freya's age
Equation: 14 + t = ½(18 + t)
Multiply both sides by 2: 214 + 2t = 18 + t
Simplify: 214 + 2t - t = 18
214 + t = 18
t = 18 - 214
t = 18 - 28 = -10

At that time, Kuldeep's age = 14 + -10 = 4
Verification: When Kuldeep is 4, Freya is 8 = 8
Check: Is 4 = ½ × 8? ½ × 8 = 4.0 ✓

Note: Mathematically, this always equals the age difference (4) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 16

When Sofia was born, Mahak was 20 years old. The sum of their present ages is 78. Find Sofia's age when Sofia was half of Mahak's age (this will happen 9 years ago).

Let Sofia's current age = 29, Mahak's current age = 49
Given: When Sofia was born (0 years old), Mahak was 20 years old.
Therefore, Mahak is always 20 years older than Sofia.
So 49 = 29 + 20 ✓

Condition: Find t such that Sofia's age = ½ of Mahak's age
Equation: 29 + t = ½(49 + t)
Multiply both sides by 2: 229 + 2t = 49 + t
Simplify: 229 + 2t - t = 49
229 + t = 49
t = 49 - 229
t = 49 - 58 = -9

At that time, Sofia's age = 29 + -9 = 20
Verification: When Sofia is 20, Mahak is 40 = 40
Check: Is 20 = ½ × 40? ½ × 40 = 20.0 ✓

Note: Mathematically, this always equals the age difference (20) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 17

When Luke was born, Mamta was 17 years old. The sum of their present ages is 61. Find Luke's age when Luke was half of Mamta's age (this will happen 5 years ago).

Let Luke's current age = 22, Mamta's current age = 39
Given: When Luke was born (0 years old), Mamta was 17 years old.
Therefore, Mamta is always 17 years older than Luke.
So 39 = 22 + 17 ✓

Condition: Find t such that Luke's age = ½ of Mamta's age
Equation: 22 + t = ½(39 + t)
Multiply both sides by 2: 222 + 2t = 39 + t
Simplify: 222 + 2t - t = 39
222 + t = 39
t = 39 - 222
t = 39 - 44 = -5

At that time, Luke's age = 22 + -5 = 17
Verification: When Luke is 17, Mamta is 34 = 34
Check: Is 17 = ½ × 34? ½ × 34 = 17.0 ✓

Note: Mathematically, this always equals the age difference (17) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 18

When Amara was born, Swati was 4 years old. The sum of their present ages is 36. Find Amara's age when Amara was half of Swati's age (this will happen 12 years ago).

Let Amara's current age = 16, Swati's current age = 20
Given: When Amara was born (0 years old), Swati was 4 years old.
Therefore, Swati is always 4 years older than Amara.
So 20 = 16 + 4 ✓

Condition: Find t such that Amara's age = ½ of Swati's age
Equation: 16 + t = ½(20 + t)
Multiply both sides by 2: 216 + 2t = 20 + t
Simplify: 216 + 2t - t = 20
216 + t = 20
t = 20 - 216
t = 20 - 32 = -12

At that time, Amara's age = 16 + -12 = 4
Verification: When Amara is 4, Swati is 8 = 8
Check: Is 4 = ½ × 8? ½ × 8 = 4.0 ✓

Note: Mathematically, this always equals the age difference (4) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 19

When Swati was born, Naresh was 12 years old. The sum of their present ages is 64. Find Swati's age when Swati was half of Naresh's age (this will happen 14 years ago).

Let Swati's current age = 26, Naresh's current age = 38
Given: When Swati was born (0 years old), Naresh was 12 years old.
Therefore, Naresh is always 12 years older than Swati.
So 38 = 26 + 12 ✓

Condition: Find t such that Swati's age = ½ of Naresh's age
Equation: 26 + t = ½(38 + t)
Multiply both sides by 2: 226 + 2t = 38 + t
Simplify: 226 + 2t - t = 38
226 + t = 38
t = 38 - 226
t = 38 - 52 = -14

At that time, Swati's age = 26 + -14 = 12
Verification: When Swati is 12, Naresh is 24 = 24
Check: Is 12 = ½ × 24? ½ × 24 = 12.0 ✓

Note: Mathematically, this always equals the age difference (12) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Question 20

When Shashi was born, Rajesh was 3 years old. The sum of their present ages is 39. Find Shashi's age when Shashi was half of Rajesh's age (this will happen 15 years ago).

Let Shashi's current age = 18, Rajesh's current age = 21
Given: When Shashi was born (0 years old), Rajesh was 3 years old.
Therefore, Rajesh is always 3 years older than Shashi.
So 21 = 18 + 3 ✓

Condition: Find t such that Shashi's age = ½ of Rajesh's age
Equation: 18 + t = ½(21 + t)
Multiply both sides by 2: 218 + 2t = 21 + t
Simplify: 218 + 2t - t = 21
218 + t = 21
t = 21 - 218
t = 21 - 36 = -15

At that time, Shashi's age = 18 + -15 = 3
Verification: When Shashi is 3, Rajesh is 6 = 6
Check: Is 3 = ½ × 6? ½ × 6 = 3.0 ✓

Note: Mathematically, this always equals the age difference (3) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff

Age at Event: Worksheet 2 - Beginner Practice Age at Event BEGINNER

What you'll learn in this worksheet: