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Age Problems - Intermediate Level: age calculations INTERMEDIATE

Master age problems concepts through this excellence pursuit practice set. Worksheet 16 of 30 contains 20 intermediate-level problems. Deep dive into age calculations while learning present age, past age, future age. Recommended for mid-level learners aiming for moderate complexity with mixed patterns.

📝 Worksheet 16 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 16 of 30 (53% complete)

Question 1

A is 11. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=18; 2A-4=18
olympiad_expression

Question 2

A is 4 years older than B. If B is 7 and A is 5, is the data correct?
If B is 7, A should be 11. But A is 5. Data is inconsistent.
contradiction

Question 3

The average age of a group is 13. The sum of their ages is 26. How many people are there in the group?
Count = sum / average = 26 / 13 = 2
group_size

Question 4

A is 25 years old. In 10 years, A will complete 4 tasks per year. How many tasks will A have completed altogether after 10 years?
Each year, task: 4. For 10 years: 10 × 4 = 40
work_mix

Question 5

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

Question 6

Present ages of Madhav, Vipul, Amara are in ratio 4:5:6. Sum of ages is 90. Find Madhav's age.
Let ages be 4x, 5x, 6x. Sum = 15x = 90, so x = 6. Madhav = 4×6 = 24
complex_ratio

Question 7

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 8

People: Milind, Elizabeth, Dolly Clues: Milind is older than Elizabeth. Dolly is the youngest. The sum of their ages is 77.
Deduce from clues and order.
logic_grid

Question 9

The average age of a group is 17. The sum of their ages is 68. How many people are there in the group?
Count = sum / average = 68 / 17 = 4
group_size

Question 10

Present ages of Xavier, Henry, Rajat are in ratio 2:3:4. Sum of ages is 81. Find Xavier's age.
Let ages be 2x, 3x, 4x. Sum = 9x = 81, so x = 9. Xavier = 2×9 = 18
complex_ratio

Question 11

Ages of 4 family members: [29, 30, 21, 16]. 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 12

The average age of a group is 13. The sum of their ages is 39. How many people are there in the group?
Count = sum / average = 39 / 13 = 3
group_size

Question 13

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 14

In 5 years, Grant will be 2 times as old as Swati will be then. Swati's present age is 15. What is Grant's present age?
Grant+5=2*(15+5) -> Grant=2*(15+5)-5=35
multiple

Question 15

People: Pooja, Bhuvnesh, Lily Clues: Pooja is older than Bhuvnesh. Lily is the youngest. The sum of their ages is 84.
Deduce from clues and order.
logic_grid

Question 16

In 7 years, Lalita will be 3 times as old as Kanika will be then. Kanika's present age is 15. What is Lalita's present age?
Lalita+7=3*(15+7) -> Lalita=3*(15+7)-7=59
multiple

Question 17

Present ages of Shubham, Layla, Ritu are in ratio 4:5:6. Sum of ages is 60. Find Shubham's age.
Let ages be 4x, 5x, 6x. Sum = 15x = 60, so x = 4. Shubham = 4×4 = 16
complex_ratio

Question 18

Karan is now 23. How old will Karan be after 6 years?
Future: 23 + 6 = 29
tense

Question 19

People: Vimal, Sarvesh, Shashi Clues: Vimal is older than Sarvesh. Shashi is the youngest. The sum of their ages is 80.
Deduce from clues and order.
logic_grid

Question 20

The average age of a group is 26. The sum of their ages is 156. How many people are there in the group?
Count = sum / average = 156 / 26 = 6
group_size
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