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Age Problems - Intermediate Level: family ages INTERMEDIATE

Exam-focused quick response training ★ worksheet: 20 intermediate-level age problems questions. Worksheet 13 of 30 targets family ages. Build proficiency in age differences, sum of ages, product of ages with detailed solutions. Ideal for mid-level competitive exam preparation.

📝 Worksheet 13 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 13 of 30 (43% complete)

Question 1

A is older than B. C is younger than B. A + B + C = 62. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 62, max C = 17
optimization, inequality

Question 2

People: Penelope, Ganesh, Monika Clues: Penelope is older than Ganesh. Monika is the youngest. The sum of their ages is 53.
Deduce from clues and order.
logic_grid

Question 3

Kamal and Puneet together are 31. If Kamal is 11, what is Puneet's age?
Puneet = 31 - 11 = 20
sum

Question 4

A is 20 years old. In 13 years, A will complete 6 tasks per year. How many tasks will A have completed altogether after 13 years?
Each year, task: 6. For 13 years: 13 × 6 = 78
work_mix

Question 5

Family: Lydia, Ella, Anna, Vani. Average age is 21. What is the sum of ages?
Total = 21*4 = 84
average

Question 6

A is older than B. C is younger than B. A + B + C = 67. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 67, max C = 19
optimization, inequality

Question 7

A is 4 years older than B. If B is 13 and A is 11, is the data correct?
If B is 13, A should be 17. But A is 11. Data is inconsistent.
contradiction

Question 8

The sum of A and B's ages is 60. Twice A's age minus B's age is 24. Find A's age.
A + B = 60
2A - B = 24
Adding the two equations: (A + B) + (2A - B) = 60 + 24
3A = 84
A = 28
Verification: B = 60 - 28 = 32
2(28) - 32 = 24 = 24 ✓
equation

Question 9

Ages of 5 family members: [24, 30, 11, 38, 30]. If one is picked at random, what is the probability that member is under 18? Give answer as a fraction.
Number under 18: 1, total: 5, prob = 1/5
probability

Question 10

People: Yashaswi, Matteo, Vasudha Clues: Yashaswi is older than Matteo. Vasudha is the youngest. The sum of their ages is 103.
Deduce from clues and order.
logic_grid

Question 11

Angel and Emily together are 37. If Angel is 20, what is Emily's age?
Emily = 37 - 20 = 17
sum

Question 12

A is older than B. C is younger than B. A + B + C = 63. A is at least 5 years older than B. Maximum possible age of C?
For max C, minimize A and B. A ≥ B+5, B > C. With sum 63, max C = 18
optimization, inequality

Question 13

The sum of ages of all family members is 124 and their average age is 31. How many members are there in the family?
number = total / average = 124 / 31 = 4
member_count

Question 14

Statement 1: A is 5 years older than B. Statement 2: B is 11 years old.
B's age is given, so A's age is just B+5.
assertion_reason

Question 15

Given: Tushar > Shailesh, Shailesh > Cooper, and Tushar + Cooper < 63. If all ages are integers, what is the minimum possible age of Tushar?
With given constraints, minimum Tushar = 25 (since Tushar > Shailesh > Cooper and all integers)
inequality, ranges

Question 16

Ages of 3 people Sarita, Ishika, Sheetal are in AP. Their current sum is 72. After 4 years, sum will be 84. Find the youngest person's age.
In AP, sum increases by 3×4=12. Current ages form AP starting with 20.
AP

Question 17

Family: Robert, Hana, Shiva, Sunil. Average age is 23. What is the sum of ages?
Total = 23*4 = 92
average

Question 18

Grandfather is 78 years old, his son is 52 years old, and his grandson is 32 years old. What is the sum of their ages?
Sum = 78 + 52 + 32 = 162
family_tree

Question 19

One person's age is 3 times another. If sum of ages is 40, what are their ages?
Let x: base, 3x: second. x + 3x = 40 → x = 10, 3x = 30
geometry

Question 20

In 2024, the Swati family consists of: - Swati (Father): 43 years - Arun (Mother): 39 years - Riddhima (Son): 18 years - Jaya (Daughter): 12 years Additional information: • Father is 4 times as old as daughter was 5 years ago • Mother was 25 years old when son was born • In 5 years, sum of all ages will be 132 What was the ratio of Swati's age to Riddhima's age 5 years ago?
5 years ago: Swati = 38, Riddhima = 13 → Ratio = 38:13
case_study, comprehensive
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