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Age-Based Puzzles - Intermediate Level: age puzzles INTERMEDIATE

Quick mental agility ★ session: 20 intermediate-level age-based puzzles questions. Worksheet 17 of 30 - Focus: age puzzles. Practice relative ages, age constraints, age relationships with instant feedback. Great for mid-level students needing moderate complexity with mixed patterns practice.

📝 Worksheet 17 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 17 of 30 (56% complete)

Question 1

Eleanor is 32 years old and Ram is 15 years old. What will be their combined age after 11 years?
Eleanor will be 32 + 11 = 43
Ram will be 15 + 11 = 26
Combined = 43 + 26 = 69
future_past

Question 2

Bhuvnesh is 4 times as old as Dilip. 6 years ago, the sum of their ages was 113. How old is Dilip now?
Let Dilip = x, then Bhuvnesh = 4x
6 years ago: (4x - 6) + (x - 6) = 113
(4+1)x - 12 = 113
(5)x = 125
x = 25
ratio_sum

Question 3

11 years ago, the ratio of Parvathy's age to Mary's age was 3:7. 22 years from now, the ratio will be 4:9. Find Parvathy's present age.
Let Parvathy's present age = x, Mary's present age = y
11 years ago: (x-11)/(y-11) = 3/7
22 years from now: (x+22)/(y+22) = 4/9
Solving these equations gives x = 33, y = 77
ratio, past-future, equation

Question 4

Audrey is 24 years old in 2022. In what year was Audrey born?
2022 - 24 = 1998
year_birth

Question 5

Prerna is 23 years old and Colton is 12 years old. What will be the sum of their ages after 10 years?
Current sum = 23 + 12 = 35
After 10 years, each ages by 10, so sum increases by 20
Future sum = 35 + 20 = 55
sum_future

Question 6

Harper is 18 years old and Kashish is 17 years old. What will be the sum of their ages after 8 years?
Current sum = 18 + 17 = 35
After 8 years, each ages by 8, so sum increases by 16
Future sum = 35 + 16 = 51
sum_future

Question 7

When Dominic was born, Ella was 7 years old. The sum of their present ages is 19. Find Dominic's age when Dominic was half of Ella's age (this will happen in 1 years).
Let Dominic's current age = 6, Ella's current age = 13
Given: When Dominic was born (0 years old), Ella was 7 years old.
Therefore, Ella is always 7 years older than Dominic.
So 13 = 6 + 7 ✓

Condition: Find t such that Dominic's age = ½ of Ella's age
Equation: 6 + t = ½(13 + t)
Multiply both sides by 2: 26 + 2t = 13 + t
Simplify: 26 + 2t - t = 13
26 + t = 13
t = 13 - 26
t = 13 - 12 = 1

At that time, Dominic's age = 6 + 1 = 7
Verification: When Dominic is 7, Ella is 14 = 14
Check: Is 7 = ½ × 14? ½ × 14 = 7.0 ✓

Note: Mathematically, this always equals the age difference (7) because:
event_age = current_a + t = current_a + (current_b - 2·current_a) = current_b - current_a = age_diff
event

Question 8

Gabriel is 2 times as old as Uday. 5 years ago, the sum of their ages was 26. How old is Uday now?
Let Uday = x, then Gabriel = 2x
5 years ago: (2x - 5) + (x - 5) = 26
(2+1)x - 10 = 26
(3)x = 36
x = 12
ratio_sum

Question 9

Bina is 4 times as old as his son Eva. After 8 years, the sum of their ages will be 81. How old is Eva now?
Let son's age = x, then father's age = 4x
After 8 years: (4x+8) + (x+8) = 81
(4+1)x + 16 = 81
(5)x = 65
x = 13
fatherson

Question 10

If Adeline were 5 years younger, she would be 2/7 of Miles's age 6 years from now. If Adeline is 27 years younger than Miles, find Adeline's present age.
Let Miles = 47, then Adeline = 20
Check: (20 - 5) = 2/7 × (47 + 6)
15 = 2/7 × 53 ✓
conditional, fraction

Question 11

Tucker is 4 times as old as Ratna. 5 years ago, the sum of their ages was 70. How old is Ratna now?
Let Ratna = x, then Tucker = 4x
5 years ago: (4x - 5) + (x - 5) = 70
(4+1)x - 10 = 70
(5)x = 80
x = 16
ratio_sum

Question 12

Tournament participants: Sonal, Drishti, Paisley, Madison Given the following clues: 1. Sonal is younger than Drishti 2. Drishti is younger than Paisley 3. Paisley is younger than Madison 4. Each person is exactly 3 years older than the person immediately younger than them. 5. Sonal is 15 years old. Determine Paisley's age.
Step 1: From clues 1-3, the age order from youngest to oldest is:
Sonal → Drishti → Paisley → Madison

Step 2: From clue 4, each consecutive person differs by exactly 3 years.
So if youngest = x, then: Sonal=x, Drishti=x+3, Paisley=x+6, Madison=x+9

Step 3: From clue 5, Sonal (the 1st (youngest)) = 15
Therefore, x + 0 = 15
Solving: x = 15 - 0 = 15

Step 4: All ages are:
• Sonal = 15
• Drishti = 18
• Paisley = 21
• Madison = 24

Step 5: Paisley is the 3rd.
Therefore, Paisley = 21
ranking

Question 13

The ratio of Suresh's age to Parker's age is 3:13. After 34 years, the ratio will become 4:17. Find Suresh's present age.
Let Suresh = 3k, Parker = 13k
After 34 years: (3k+34)/(13k+34) = 4/17
Solving gives k = 16, so Suresh = 48
ratio, future

Question 14

Abhay is 4 times as old as Madhav. 5 years ago, the sum of their ages was 95. How old is Madhav now?
Let Madhav = x, then Abhay = 4x
5 years ago: (4x - 5) + (x - 5) = 95
(4+1)x - 10 = 95
(5)x = 105
x = 21
ratio_sum

Question 15

In a family of four: Naresh, Christopher, Vasant, Finn. The youngest is 6 and the eldest is 18. The other two members are 11 and 17. What is the average age of the family?
Sum of all ages = 6 + 11 + 17 + 18 = 52
Average = 52 ÷ 4 = 13
eldest_youngest

Question 16

6 years ago, the ratio of Shweta's age to Satish's age was 2:1. Currently, the ratio is 5:3. Find Shweta's present age.
Let present ages be 5k and 3k
6 years ago: (5k-6)/(3k-6) = 2/1
Solving gives k = 6, so Shweta = 30
hidden

Question 17

8 years ago, the ratio of Maverick's age to Leo's age was 1:3. 16 years from now, the ratio will be 2:5. Find Maverick's present age.
Let Maverick's present age = x, Leo's present age = y
8 years ago: (x-8)/(y-8) = 1/3
16 years from now: (x+16)/(y+16) = 2/5
Solving these equations gives x = 16, y = 48
ratio, past-future, equation

Question 18

If Karan were 10 years younger, she would be 5/11 of Udit's age 6 years from now. If Karan is 10 years younger than Udit, find Karan's present age.
Let Udit = 50, then Karan = 40
Check: (40 - 10) = 5/11 × (50 + 6)
30 = 5/11 × 56 ✓
conditional

Question 19

Freya is 3 times as old as his son Vineet. After 3 years, the sum of their ages will be 46. How old is Vineet now?
Let son's age = x, then father's age = 3x
After 3 years: (3x+3) + (x+3) = 46
(3+1)x + 6 = 46
(4)x = 40
x = 10
fatherson

Question 20

If Emma were 7 years younger, she would be 5/12 of Quinn's age 8 years from now. If Emma is 28 years younger than Quinn, find Emma's present age.
Let Quinn = 63, then Emma = 35
Check: (35 - 7) = 5/12 × (63 + 8)
28 = 5/12 × 71 ✓
conditional, fraction
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