Age Problems - Beginner-Intermediate Level: comparative ages BEGINNER-INTERMEDIATE

This deep dive ★ worksheet contains 20 beginner-intermediate-level age problems problems. Worksheet 11 of 30 focuses on comparative ages. Practice future age, age ratios, age differences with our step-by-step solutions. Difficulty: building on fundamentals with moderate challenges. Recommended for developing learners.

📝 Worksheet 11 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 11 of 30 (36% complete)

Question 1

Ages of 5 family members: [18, 37, 30, 26, 17]. 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

Question 2

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.

Question 3

Given: Babita > Sagar, Sagar > Peyton, and Babita + Peyton < 55. If all ages are integers, what is the minimum possible age of Babita?
With given constraints, minimum Babita = 23 (since Babita > Sagar > Peyton and all integers)

Question 4

A is 3 times as old as B. If B is 39, what is A's age?
A = 3 × 39 = 117

Question 5

A is 2 times as old as B. If B is 18, what is A's age?
A = 2 × 18 = 36

Question 6

Ratio of ages of Ved to Aria is 4:5, and the difference is 8. How old is Aria?
Let Ved = 4x, Aria = 5x
Difference = 5x - 4x = 1x = 8
Therefore x = 8 ÷ 1 = 8
Aria = 5 × 8 = 40

Question 7

Ratio of ages of Navya to Malachi is 2:3, and the difference is 5. How old is Malachi?
Let Navya = 2x, Malachi = 3x
Difference = 3x - 2x = 1x = 5
Therefore x = 5 ÷ 1 = 5
Malachi = 3 × 5 = 15

Question 8

Dilip is 4 years older than Everly. If Everly is 16, how old is Dilip?
Dilip = Everly + 4 = 16 + 4 = 20

Question 9

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

Question 10

A is 12 years older than B. A's age equals the cost price (₹186) and B's age equals the selling price when profit is 23%. Find A's age.
Given: A = cost price = 186, B = selling price = 228. Age difference matches: 186 - 228 = -42

Question 11

In 4 years, Kapil will be 3 times as old as Daksh will be then. Daksh's present age is 11. What is Kapil's present age?
Kapil+4=3*(11+4) -> Kapil=3*(11+4)-4=41

Question 12

Ages of 5 family members: [17, 10, 18, 36, 26]. If one is picked at random, what is the probability that member is under 18? Give answer as a fraction.
Number under 18: 2, total: 5, prob = 2/5

Question 13

A is 25 years old. In 11 years, A will complete 3 tasks per year. How many tasks will A have completed altogether after 11 years?
Each year, task: 3. For 11 years: 11 × 3 = 33

Question 14

Present ages of Kennedy, Nimesh, Jyoti are in ratio 3:4:5. Sum of ages is 108. Find Kennedy's age.
Let ages be 3x, 4x, 5x. Sum = 12x = 108, so x = 9. Kennedy = 3×9 = 27

Question 15

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)

Question 16

Present ages of Prithvi, Savannah, Shruti are in ratio 2:3:4. Sum of ages is 63. Find Prithvi's age.
Let ages be 2x, 3x, 4x. Sum = 9x = 63, so x = 7. Prithvi = 2×7 = 14

Question 17

Ages of 4 family members: [35, 37, 35, 13]. 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

Question 18

A is 2 years younger than B. The sum of their ages after 6 years will be 58. Find A's present age.
Let A=22, B=24. After 6 years: A=28, B=30, sum=58. Therefore A = 22

Question 19

Suresh is 5 years younger than Abhay. If Abhay is 12, how old is Suresh?
Suresh = Abhay - 5 = 12 - 5 = 7

Question 20

Table shows ages: 2020: X=34, Y=28, Z=30 2025: X=39, Y=33, Z=35 How did the ratio of X:Y's ages change from 2020 to 2025?
2020 ratio: 34:28, 2025 ratio: 39:33
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