ReasoningAbility.com

Age Problems - Intermediate Level: generational ages INTERMEDIATE

Level up your age problems skills with this comprehensive review. 20 intermediate-level problems await in Worksheet 14 of 30. Focus area: generational ages. Learn sum of ages, product of ages, average age through systematic practice. Designed for mid-level learners seeking moderate complexity with mixed patterns.

📝 Worksheet 14 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 14 of 30 (46% complete)

Question 1

Grandfather is 76 years old, his son is 52 years old, and his grandson is 33 years old. What is the sum of their ages?
Sum = 76 + 52 + 33 = 161
family_tree

Question 2

Statement 1: A is 5 years older than B. Statement 2: B is 10 years old.
B's age is given, so A's age is just B+5.
assertion_reason

Question 3

Family: Pankaj, Lars, Yashaswi, Kalpana. Average age is 17. What is the sum of ages?
Total = 17*4 = 68
average

Question 4

One person's age is 3 times another. If sum of ages is 72, what are their ages?
Let x: base, 3x: second. x + 3x = 72 → x = 18, 3x = 54
geometry

Question 5

The average age of a group is 25. The sum of their ages is 50. How many people are there in the group?
Count = sum / average = 50 / 25 = 2
group_size

Question 6

Statement 1: A is 5 years older than B. Statement 2: B is 12 years old.
B's age is given, so A's age is just B+5.
assertion_reason

Question 7

Sahil is 50% younger than Sophie. If Sophie is 36 years, how old is Sahil?
Sahil = 36 - (50% of 36) = 36 - 18 = 18
percentage

Question 8

The sum of A and B's ages is 37. Twice A's age minus B's age is 14. Find A's age.
A + B = 37
2A - B = 14
Adding the two equations: (A + B) + (2A - B) = 37 + 14
3A = 51
A = 17
Verification: B = 37 - 17 = 20
2(17) - 20 = 14 = 14 ✓
equation

Question 9

Ages of 4 family members: [35, 13, 40, 39]. 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: 4, prob = 1/4
probability

Question 10

Hailey and Lakhvinder together are 24. If Hailey is 12, what is Lakhvinder's age?
Lakhvinder = 24 - 12 = 12
sum

Question 11

In 2015, ages of X, Y, Z were 27, 22, 29 respectively. In 2025, their ages were 37, 32, 39. What was X's age in 2015?
Since ages increase uniformly by 5 years every 5 years, X's age in 2015 = 27
data_interpretation, table

Question 12

Vikas is 4 years younger than Lily. If Lily is 11, how old is Vikas?
Vikas = Lily - 4 = 11 - 4 = 7
basic

Question 13

Statement 1: A is 5 years older than B. Statement 2: B is 13 years old.
B's age is given, so A's age is just B+5.
assertion_reason

Question 14

A is 2 times as old as B. If B is 40, what is A's age?
A = 2 × 40 = 80
misleading_mcq

Question 15

Dharmesh is 3 years younger than Mukesh. If Mukesh is 11, how old is Dharmesh?
Dharmesh = Mukesh - 3 = 11 - 3 = 8
basic

Question 16

A is 15. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=22; 2A-4=26
olympiad_expression

Question 17

Family: David, Drishti, Girish, Leah. Average age is 17. What is the sum of ages?
Total = 17*4 = 68
average

Question 18

Present ages of Ved, Genesis, Hardik are in ratio 4:5:6. Sum of ages is 135. Find Ved's age.
Let ages be 4x, 5x, 6x. Sum = 15x = 135, so x = 9. Ved = 4×9 = 36
complex_ratio

Question 19

One person's age is 3 times another. If sum of ages is 56, what are their ages?
Let x: base, 3x: second. x + 3x = 56 → x = 14, 3x = 42
geometry

Question 20

A is 10 years older than B. A's age equals the cost price (₹105) and B's age equals the selling price when profit is 29%. Find A's age.
Given: A = cost price = 105, B = selling price = 135. Age difference matches: 105 - 135 = -30
integrated, multi_topic
Previous Worksheet Next Worksheet