ReasoningAbility.com

Age-Based Puzzles - Intermediate Level: relative ages INTERMEDIATE

Comprehensive weakness targeting worksheet covering 20 intermediate-level age-based puzzles problems. Worksheet 18 of 30 emphasizes relative ages. Master age constraints, age relationships, age-based logic through detailed explanations. Difficulty: moderate complexity with mixed patterns. Tailored for mid-level preparation.

📝 Worksheet 18 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Age-Based Puzzles
Worksheet 18 of 30 (60% complete)

Question 1

The average age of 4 people is 40. If Jahnavi (age 24) leaves and a new person joins, the average becomes 40. Find the age of the new person.
Initial total = 40 × 4 = 160
After Jahnavi leaves: 160 - 24 = 136
New total = 40 × 4 = 160
New person's age = 160 - (136) = 24
average

Question 2

The average age of a family of 7 members (Indu, Sohan, Elizabeth, Shakti, Adrian, Rajiv, Oscar) is 38.3 years. If Shakti (age 34) leaves the family, what will be the new average age?
Total age = 38.3 × 7 = 268
After Shakti leaves: 268 - 34 = 234
New average = 234 ÷ 6 = 39
average, removal

Question 3

Deepak is 23 years old and Prashant is 27 years old. What will be their combined age after 9 years?
Deepak will be 23 + 9 = 32
Prashant will be 27 + 9 = 36
Combined = 32 + 36 = 68
future_past

Question 4

Shakti is 5 years older than Autumn, Autumn is 5 years older than Shailesh, and the sum of their ages is 57. What is Shakti's age?
Let Shailesh = 14
Then Autumn = 14 + 5 = 19
And Shakti = 19 + 5 = 24
Check sum: 24 + 19 + 14 = 57 ✓
linked_eq

Question 5

The product of the ages of Brijesh and Neha is 364, and the sum of their ages is 40. Find Brijesh's age.
Let ages be x and y.
xy = 364
x + y = 40
Solving gives x = 14, y = 26
Therefore, Brijesh's age = 26
product, sum-diff

Question 6

Vikas is 25 years old and Parul is 29 years old. What will be the sum of their ages after 10 years?
Current sum = 25 + 29 = 54
After 10 years, each ages by 10, so sum increases by 20
Future sum = 54 + 20 = 74
sum_future

Question 7

Currently, Elena is 3/10 of Narendra's age. After 12 years, Elena will be 1/3 of Narendra's age. Find Elena's present age.
Let Narendra = x, then Elena = 3/10x
After 12 years: 3/10x + 12 = 1/3(x + 12)
Solving gives x = 120, so Elena = 36
fraction, time-change

Question 8

Beau is 28 years older than Julia and is now 37 years old. How old was Beau 5 years ago?
Current age of Beau = 37
5 years ago = 37 - 5 = 32
reverse

Question 9

Ishika is twice as old as Bhaskar was when Sameer was as old as Ishika is now. If Sameer is currently 36 years old, find Ishika's age.
When Sameer was 42 years old, that was 6 years ago
At that time, Bhaskar was 21
Now Ishika = 2 × 21 = 42 ✓
cross

Question 10

In a family of four: Anmol, Rakshit, Leah, Harsha. The youngest is 7 and the eldest is 14. The other two members are 11 and 12. What is the average age of the family?
Sum of all ages = 7 + 11 + 12 + 14 = 44
Average = 44 ÷ 4 = 11
eldest_youngest

Question 11

Jahnavi is 2 years older than Namrata, Namrata is 6 years older than Anshul, and the sum of their ages is 74. What is Jahnavi's age?
Let Anshul = 20
Then Namrata = 20 + 6 = 26
And Jahnavi = 26 + 2 = 28
Check sum: 28 + 26 + 20 = 74 ✓
linked_eq

Question 12

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

Question 13

In a family, Katia : Grant = 8:3 and Grant : Meena = 3:1. The sum of their ages is 48. Find Grant's age.
Let common ratio for Grant be 3
Then Katia:Grant:Meena = 8:3:1
Sum of ratios = 12
Each unit = 48 ÷ 12 = 4
Grant's age = 3 × 4 = 12
threegen

Question 14

Willow is 24 years old and Lokesh is 10 years old. What will be their combined age after 11 years?
Willow will be 24 + 11 = 35
Lokesh will be 10 + 11 = 21
Combined = 35 + 21 = 56
future_past

Question 15

4 years ago, the ratio of Heidi's age to Vaibhav's age was 2:3. 8 years from now, the ratio will be 3:4. Find Heidi's present age.
Let Heidi's present age = x, Vaibhav's present age = y
4 years ago: (x-4)/(y-4) = 2/3
8 years from now: (x+8)/(y+8) = 3/4
Solving these equations gives x = 12, y = 18
ratio, past-future, equation

Question 16

The product of the ages of Farhan, Phalguni, and Tripti is 640. The eldest is 4 times the youngest, and the middle child's age is between them. Find the age of the eldest.
Let youngest = x, then eldest = 4x
Then middle = 640 ÷ (x × 4x) = 640 ÷ (4x²)
Testing x = 4: middle = 640 ÷ (4 × 4²) = 10
Therefore, eldest = 16
product

Question 17

When Vedika was born, Quinn was 25 years old. The sum of their present ages is 101. Find Vedika's age when Vedika was half of Quinn's age (this will happen 13 years ago).
Let Vedika's current age = 38, Quinn's current age = 63
Given: When Vedika was born (0 years old), Quinn was 25 years old.
Therefore, Quinn is always 25 years older than Vedika.
So 63 = 38 + 25 ✓

Condition: Find t such that Vedika's age = ½ of Quinn's age
Equation: 38 + t = ½(63 + t)
Multiply both sides by 2: 238 + 2t = 63 + t
Simplify: 238 + 2t - t = 63
238 + t = 63
t = 63 - 238
t = 63 - 76 = -13

At that time, Vedika's age = 38 + -13 = 25
Verification: When Vedika is 25, Quinn 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
event

Question 18

Bharat is twice as old as Raelynn was 7 years ago. The difference between their ages is 19 years. How old is Bharat?
Let Raelynn's current age = x
Then 7 years ago, Raelynn was (x - 7)
Bharat = 2(x - 7) = 2x - 14
Difference: Bharat - x = (2x - 14) - x = x - 14
Given difference = 19
So x - 14 = 19 → x = 33 = 33
Then Bharat = 2(33 - 7) = 52
2eq

Question 19

Dilip and Nikita are twins. If Dilip is 15 years old now, how old was Nikita 8 years ago?
Twins have the same age. 8 years ago, both were 15 - 8 = 7
twins

Question 20

When Rajiv was born, Camila was 14 years old. The sum of their present ages is 36. Find Rajiv's age when Rajiv was half of Camila's age (this will happen in 3 years).
Let Rajiv's current age = 11, Camila's current age = 25
Given: When Rajiv was born (0 years old), Camila was 14 years old.
Therefore, Camila is always 14 years older than Rajiv.
So 25 = 11 + 14 ✓

Condition: Find t such that Rajiv's age = ½ of Camila's age
Equation: 11 + t = ½(25 + t)
Multiply both sides by 2: 211 + 2t = 25 + t
Simplify: 211 + 2t - t = 25
211 + t = 25
t = 25 - 211
t = 25 - 22 = 3

At that time, Rajiv's age = 11 + 3 = 14
Verification: When Rajiv is 14, Camila 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
event
Previous Worksheet Next Worksheet