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Age Problems - Expert Level: generational ages EXPERT

Strategic basic drills ★ for age problems: 20 expert-level problems. Worksheet 29 of 30 - Focus: generational ages. Develop expertise in age calculations, present age, past age with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 29 of 30 (96% complete)

Question 1

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 2

Table shows ages: 2020: X=26, Y=32, Z=30 2025: X=31, Y=37, Z=35 How did the ratio of X:Y's ages change from 2020 to 2025?
2020 ratio: 26:32, 2025 ratio: 31:37
data_interpretation, table

Question 3

The sum of ages of all family members is 96 and their average age is 32. How many members are there in the family?
number = total / average = 96 / 32 = 3
member_count

Question 4

In 5 years, Manan will be twice as old as Arjun was 3 years ago. If Arjun is 16 now, how old is Manan now?
In 5 years: Manan=Manan(now)+5, Arjun was 16-3=13 three years ago. Manan(now)+5=2*13 => Manan(now) = 2*13 - 5 = 21.
reverse

Question 5

A is 21 years old. In 17 years, A will complete 4 tasks per year. How many tasks will A have completed altogether after 17 years?
Each year, task: 4. For 17 years: 17 × 4 = 68
work_mix

Question 6

In 2024, the Vidhi family consists of: - Vidhi (Father): 50 years - Kennedy (Mother): 47 years - Yamini (Son): 21 years - Kapil (Daughter): 15 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 153 What will be the sum of their ages after 15 years?
Current sum = 133. Each person ages 15 years → +60 = 193
case_study, comprehensive

Question 7

Sarvesh and Peyton together are 28. If Sarvesh is 14, what is Peyton's age?
Peyton = 28 - 14 = 14
sum

Question 8

Emmett is 14, Matteo is 25. After 5 years, what is the ratio of their ages?
Emmett: Matteo = 19:30, after 5 years.
future_ratio

Question 9

A is 6 years younger than B. The sum of their ages after 6 years will be 52. Find A's present age.
Let A=17, B=23. After 6 years: A=23, B=29, sum=52. Therefore A = 17
multi_stage

Question 10

Grandfather is 69 years old, his son is 48 years old, and his grandson is 31 years old. What is the sum of their ages?
Sum = 69 + 48 + 31 = 148
family_tree

Question 11

Ages of 7 family members: [32, 38, 11, 24, 13, 28, 30]. 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: 7, prob = 2/7
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

A is 20 years old. In 15 years, A will complete 4 tasks per year. How many tasks will A have completed altogether after 15 years?
Each year, task: 4. For 15 years: 15 × 4 = 60
work_mix

Question 14

A and B's ages sum to 43. A is between 2 and 4 times as old as B. What is the minimum possible age of A?
A + B = 43, A/B between 2 and 4. For min A, take A/B = 2 → B = 14.3, A = 28.7 → min A = 29
optimization, inequality

Question 15

A is 4 years older than B. If B is 11 and A is 9, is the data correct?
If B is 11, A should be 15. But A is 9. Data is inconsistent.
contradiction

Question 16

People: Emmett, Manoj, Kiran Clues: Emmett is older than Manoj. Kiran is the youngest. The sum of their ages is 86.
Deduce from clues and order.
logic_grid

Question 17

A is 4 years older than B. If B is 6 and A is 4, is the data correct?
If B is 6, A should be 10. But A is 4. Data is inconsistent.
contradiction

Question 18

Ratio of ages of Shobhit to Sanjay is 5:3, and the difference is 8. How old is Shobhit?
Let Shobhit = 5x, Sanjay = 3x
Difference = 5x - 3x = 2x = 8
Therefore x = 8 ÷ 2 = 4
Shobhit = 5 × 4 = 20
ratio

Question 19

Skylar is 20, Eva is 23. After 7 years, what is the ratio of their ages?
Skylar: Eva = 27:30, after 7 years.
future_ratio

Question 20

Lucia is now 17. How old will Lucia be after 4 years?
Future: 17 + 4 = 21
tense
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