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Age Problems - Intermediate-Advanced Level: age differences INTERMEDIATE-ADVANCED

This fundamentals focus worksheet contains 20 intermediate-advanced-level age problems problems. Worksheet 21 of 30 focuses on age differences. Practice sum of ages, product of ages, average age with our step-by-step solutions. Difficulty: advanced concepts with increasing complexity. Recommended for advanced developing learners.

📝 Worksheet 21 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate-advanced level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 21 of 30 (70% complete)

Question 1

One person's age is 2 times another. If sum of ages is 39, what are their ages?
Let x: base, 2x: second. x + 2x = 39 → x = 13, 2x = 26
geometry

Question 2

People: Raveena, Madelyn, Shivani Clues: Raveena is older than Madelyn. Shivani is the youngest. The sum of their ages is 77.
Deduce from clues and order.
logic_grid

Question 3

Ages of 6 family members: [32, 12, 30, 26, 38, 35]. 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: 6, prob = 1/6
probability

Question 4

Family: Gunjan, Tanu, Sanjit, Zane. Average age is 22. What is the sum of ages?
Total = 22*4 = 88
average

Question 5

The sum of ages of all family members is 150 and their average age is 30. How many members are there in the family?
number = total / average = 150 / 30 = 5
member_count

Question 6

The sum of A and B's ages is 56. Twice A's age minus B's age is 16. Find A's age.
A + B = 56
2A - B = 16
Adding the two equations: (A + B) + (2A - B) = 56 + 16
3A = 72
A = 24
Verification: B = 56 - 24 = 32
2(24) - 32 = 16 = 16 ✓
equation

Question 7

The sum of A and B's ages is 51. Twice A's age minus B's age is 21. Find A's age.
A + B = 51
2A - B = 21
Adding the two equations: (A + B) + (2A - B) = 51 + 21
3A = 72
A = 24
Verification: B = 51 - 24 = 27
2(24) - 27 = 21 = 21 ✓
equation

Question 8

In 2024, the Abhay family consists of: - Abhay (Father): 50 years - Arjun (Mother): 47 years - Nikolai (Son): 17 years - Tushar (Daughter): 11 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 145 What will be the sum of their ages after 13 years?
Current sum = 125. Each person ages 13 years → +52 = 177
case_study, comprehensive

Question 9

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

Question 10

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 11

Ritika is 15% older than Arjun. If Arjun is 38 years, how old is Ritika?
Ritika = 38 + (15% of 38) = 38 + 5 = 43
percentage

Question 12

A is 3 times as old as B. If B is 36, what is A's age?
A = 3 × 36 = 108
misleading_mcq

Question 13

Ratio of ages of Camila to Vimal is 5:4, and the difference is 10. How old is Camila?
Let Camila = 5x, Vimal = 4x
Difference = 5x - 4x = 1x = 10
Therefore x = 10 ÷ 1 = 10
Camila = 5 × 10 = 50
ratio

Question 14

The sum of ages of all family members is 128 and their average age is 32. How many members are there in the family?
number = total / average = 128 / 32 = 4
member_count

Question 15

Simple interest on ₹1955 at 5% for 2 years is ₹195. A's age is principal/100, B's age is interest/10. Find A+B's age.
A = 1955//100 = 19, B = 195//10 = 19. Sum = 38
integrated, multi_topic

Question 16

In 4 years, Theo will be 2 times as old as Ashwin will be then. Ashwin's present age is 14. What is Theo's present age?
Theo+4=2*(14+4) -> Theo=2*(14+4)-4=32
multiple

Question 17

Megha is 40% younger than Shakti. If Shakti is 40 years, how old is Megha?
Megha = 40 - (40% of 40) = 40 - 16 = 24
percentage

Question 18

In 3 years, Varun will be 2 times as old as Piya will be then. Piya's present age is 16. What is Varun's present age?
Varun+3=2*(16+3) -> Varun=2*(16+3)-3=35
multiple

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

Grandfather is 72 years old, his son is 53 years old, and his grandson is 33 years old. What is the sum of their ages?
Sum = 72 + 53 + 33 = 158
family_tree
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