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

Intensive strategic solving 🎯 drill: 20 intermediate-advanced-level age problems questions. Worksheet 20 of 30 hones your age ratios abilities. Practice age differences, sum of ages, product of ages under timed conditions. Best for advanced developing students seeking advanced concepts with increasing complexity.

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

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 20 of 30 (66% complete)

Question 1

Ratio of ages of Shakti to Shravan is 3:4, and the difference is 2. How old is Shravan?
Let Shakti = 3x, Shravan = 4x
Difference = 4x - 3x = 1x = 2
Therefore x = 2 ÷ 1 = 2
Shravan = 4 × 2 = 8
ratio

Question 2

Akash is 19, Aaliyah is 21. After 8 years, what is the ratio of their ages?
Akash: Aaliyah = 27:29, after 8 years.
future_ratio

Question 3

Two liquids mixed in ratio 2:1 make 39 liters. The elder person's age equals the larger quantity, the younger's equals the smaller. Age difference?
Larger quantity = 26L, smaller = 13L. Age difference = 26 - 13 = 13
integrated, multi_topic

Question 4

Present ages of Urvashi, Esha, Adrian are in ratio 2:3:4. Sum of ages is 45. Find Urvashi's age.
Let ages be 2x, 3x, 4x. Sum = 9x = 45, so x = 5. Urvashi = 2×5 = 10
complex_ratio

Question 5

A is 5 years older than B. A's age equals the cost price (₹190) and B's age equals the selling price when profit is 22%. Find A's age.
Given: A = cost price = 190, B = selling price = 231. Age difference matches: 190 - 231 = -41
integrated, multi_topic

Question 6

10 years ago, A was half as old as B. In 5 years, what will be the age difference between B and A?
10 years ago: A was 16, B was 22. Check: 16 = ½ × 22 ✓
Present ages: A = 26, B = 32
In 5 years: A = 31, B = 37
Age difference = |37 - 31| = 6
(Age difference stays constant over time = B - A = 6)
chronological_chain

Question 7

Grandfather is 66 years old, his son is 47 years old, and his grandson is 27 years old. What is the sum of their ages?
Sum = 66 + 47 + 27 = 140
family_tree

Question 8

Present ages of Audrey, Sapna, Emery are in ratio 2:3:4. Sum of ages is 72. Find Audrey's age.
Let ages be 2x, 3x, 4x. Sum = 9x = 72, so x = 8. Audrey = 2×8 = 16
complex_ratio

Question 9

In 4 years, Stella will be 2 times as old as Revathi will be then. Revathi's present age is 7. What is Stella's present age?
Stella+4=2*(7+4) -> Stella=2*(7+4)-4=18
multiple

Question 10

Statement 1: A is 5 years older than B. Statement 2: B is 14 years old.
B's age is given, so A's age is just B+5.
assertion_reason

Question 11

Ages of 6 family members: [23, 20, 33, 27, 38, 28]. If one is picked at random, what is the probability that member is under 18? Give answer as a fraction.
Number under 18: 0, total: 6, prob = 0/6
probability

Question 12

Kinsley is 8 years younger than Sunil. If Sunil is 15, how old is Kinsley?
Kinsley = Sunil - 8 = 15 - 8 = 7
basic

Question 13

Pranay and Shikha together are 25. If Pranay is 15, what is Shikha's age?
Shikha = 25 - 15 = 10
sum

Question 14

A is 2 times as old as B. If B is 15, what is A's age?
A = 2 × 15 = 30
misleading_mcq

Question 15

Family: Mitali, Pravin, Hailey, Ayush. Average age is 19. What is the sum of ages?
Total = 19*4 = 76
average

Question 16

Family: Benjamin, Lata, Bela, Anup. Average age is 22. What is the sum of ages?
Total = 22*4 = 88
average

Question 17

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 18

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 19

A is 18. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=25; 2A-4=32
olympiad_expression

Question 20

The average age of a group is 22. The sum of their ages is 88. How many people are there in the group?
Count = sum / average = 88 / 22 = 4
group_size
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