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Age Problems - Expert Level: age constraints EXPERT

Intensive progress check 🎯 drill: 20 expert-level age problems questions. Worksheet 30 of 30 hones your age constraints abilities. Practice present age, past age, future age under timed conditions. Best for expert-level students seeking challenging problems and time-bound practice.

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

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 30 of 30 (100% complete)

Question 1

Given: Wyatt > Esha, Esha > Shilpa, and Wyatt + Shilpa < 50. If all ages are integers, what is the minimum possible age of Wyatt?
With given constraints, minimum Wyatt = 22 (since Wyatt > Esha > Shilpa and all integers)
inequality, ranges

Question 2

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 3

Grandfather is 77 years old, his son is 51 years old, and his grandson is 31 years old. What is the sum of their ages?
Sum = 77 + 51 + 31 = 159
family_tree

Question 4

A and B's ages sum to 46. A is between 2 and 3 times as old as B. What is the minimum possible age of A?
A + B = 46, A/B between 2 and 3. For min A, take A/B = 2 → B = 15.3, A = 30.7 → min A = 31
optimization, inequality

Question 5

A is 4 years older than B. If B is 12 and A is 10, is the data correct?
If B is 12, A should be 16. But A is 10. Data is inconsistent.
contradiction

Question 6

In 2015, X was 21 and Y was 22. In 2025, X will be 31 and Y will be 32. How did the age difference change over 10 years?
Difference in 2015: 1, in 2025: 1. Age difference remains constant.
data_interpretation, table

Question 7

Sum of A and B's ages is 50. After 9 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 50, (A+9) = 2*(B+9) → A = 36.3 → max A = 36
optimization, inequality

Question 8

A and B's ages sum to 50. A is between 3 and 4 times as old as B. What is the minimum possible age of A?
A + B = 50, A/B between 3 and 4. For min A, take A/B = 3 → B = 12.5, A = 37.5 → min A = 38
optimization, inequality

Question 9

Ratio of ages of Omkar to Om is 4:5, and the difference is 6. How old is Om?
Let Omkar = 4x, Om = 5x
Difference = 5x - 4x = 1x = 6
Therefore x = 6 ÷ 1 = 6
Om = 5 × 6 = 30
ratio

Question 10

In 4 years, Paridhi will be twice as old as Mayank was 3 years ago. If Mayank is 9 now, how old is Paridhi now?
In 4 years: Paridhi=Paridhi(now)+4, Mayank was 9-3=6 three years ago. Paridhi(now)+4=2*6 => Paridhi(now) = 2*6 - 4 = 8.
reverse

Question 11

In 2015, X was 20 and Y was 27. In 2025, X will be 30 and Y will be 37. How did the age difference change over 10 years?
Difference in 2015: 7, in 2025: 7. Age difference remains constant.
data_interpretation, table

Question 12

Sum of A and B's ages is 66. After 10 years, A will be 3 times as old as B. What is the maximum possible age of A now?
A + B = 66, (A+10) = 3*(B+10) → A = 54.5 → max A = 54
optimization, inequality

Question 13

In 6 years, Jordan will be twice as old as Hina was 3 years ago. If Hina is 9 now, how old is Jordan now?
In 6 years: Jordan=Jordan(now)+6, Hina was 9-3=6 three years ago. Jordan(now)+6=2*6 => Jordan(now) = 2*6 - 6 = 6.
reverse

Question 14

Alice is now 23. How old was Alice 4 years ago?
Past: 23 - 4 = 19
tense

Question 15

Renu and Brandon together are 28. If Renu is 17, what is Brandon's age?
Brandon = 28 - 17 = 11
sum

Question 16

The sum of ages of all family members is 156 and their average age is 26. How many members are there in the family?
number = total / average = 156 / 26 = 6
member_count

Question 17

People: Vaibhav, Ajay, Hardik Clues: Vaibhav is older than Ajay. Hardik is the youngest. The sum of their ages is 60.
Deduce from clues and order.
logic_grid

Question 18

Dante is 8 years younger than Elliott. If Elliott is 16, how old is Dante?
Dante = Elliott - 8 = 16 - 8 = 8
basic

Question 19

In 2024, the Hina family consists of: - Hina (Father): 42 years - Elena (Mother): 39 years - Dolly (Son): 20 years - Nisha (Daughter): 14 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 135 What will be the sum of their ages after 12 years?
Current sum = 115. Each person ages 12 years → +48 = 163
case_study, comprehensive

Question 20

Ratio of ages of Arun to Levi is 2:5, and the difference is 18. How old is Levi?
Let Arun = 2x, Levi = 5x
Difference = 5x - 2x = 3x = 18
Therefore x = 18 ÷ 3 = 6
Levi = 5 × 6 = 30
ratio
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