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Age Problems - Intermediate Level: past age INTERMEDIATE

Comprehensive weakness targeting worksheet covering 20 intermediate-level age problems problems. Worksheet 18 of 30 emphasizes past age. Master future age, age ratios, age differences through detailed explanations. Difficulty: moderate complexity with mixed patterns. Tailored for mid-level preparation.

📝 Worksheet 18 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 18 of 30 (60% complete)

Question 1

Sum of A and B's ages is 68. After 5 years, A will be 3 times as old as B. What is the maximum possible age of A now?
A + B = 68, (A+5) = 3*(B+5) → A = 53.5 → max A = 53
optimization, inequality

Question 2

Ram is 4 years older than Clara. If Clara is 16, how old is Ram?
Ram = Clara + 4 = 16 + 4 = 20
basic

Question 3

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

Question 4

People: Neeraj, Ramesh, Bina Clues: Neeraj is older than Ramesh. Bina is the youngest. The sum of their ages is 60.
Deduce from clues and order.
logic_grid

Question 5

A car travels 265 km at 53 km/h. The driver's age is 3 times the travel time in hours. How old is the driver?
Time = Distance/Speed = 265/53 = 5 hours. Driver's age = 5 × 3 = 15
integrated, multi_topic

Question 6

Given: Savannah > Sita, Sita > Damini, and Savannah + Damini < 65. If all ages are integers, what is the minimum possible age of Savannah?
With given constraints, minimum Savannah = 27 (since Savannah > Sita > Damini and all integers)
inequality, ranges

Question 7

Present ages of Ranveer, Tucker, Naina are in ratio 2:3:4. Sum of ages is 90. Find Ranveer's age.
Let ages be 2x, 3x, 4x. Sum = 9x = 90, so x = 10. Ranveer = 2×10 = 20
complex_ratio

Question 8

Ratio of ages of Caroline to Elias is 3:5, and the difference is 14. How old is Elias?
Let Caroline = 3x, Elias = 5x
Difference = 5x - 3x = 2x = 14
Therefore x = 14 ÷ 2 = 7
Elias = 5 × 7 = 35
ratio

Question 9

Ages of 7 family members: [20, 19, 32, 19, 32, 40, 14]. 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: 7, prob = 1/7
probability

Question 10

Sameer and Hana together are 31. If Sameer is 20, what is Hana's age?
Hana = 31 - 20 = 11
sum

Question 11

The average age of a group is 17. The sum of their ages is 102. How many people are there in the group?
Count = sum / average = 102 / 17 = 6
group_size

Question 12

Given: Naomi > Soren, Soren > Urvi, and Naomi + Urvi < 60. If all ages are integers, what is the minimum possible age of Naomi?
With given constraints, minimum Naomi = 23 (since Naomi > Soren > Urvi and all integers)
inequality, ranges

Question 13

In 2015, ages of X, Y, Z were 23, 23, 24 respectively. In 2025, their ages were 33, 33, 34. What was Y's age in 2020?
Since ages increase uniformly by 5 years every 5 years, Y's age in 2020 = 28
data_interpretation, table

Question 14

In 2024, the Omar family consists of: - Omar (Father): 40 years - Mansi (Mother): 36 years - Puneet (Son): 21 years - Ratna (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 132 Based on the relationships, what is Ratna's current age?
From given relationships, Ratna's age = 15
case_study, comprehensive

Question 15

A is 5 years older than B. A's age equals the cost price (₹191) and B's age equals the selling price when profit is 50%. Find A's age.
Given: A = cost price = 191, B = selling price = 286. Age difference matches: 191 - 286 = -95
integrated, multi_topic

Question 16

Grandfather is 69 years old, his son is 44 years old, and his grandson is 27 years old. What is the sum of their ages?
Sum = 69 + 44 + 27 = 140
family_tree

Question 17

Sum of A and B's ages is 67. After 6 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 67, (A+6) = 2*(B+6) → A = 46.7 → max A = 46
optimization, inequality

Question 18

Raelynn and Marcus together are 38. If Raelynn is 18, what is Marcus's age?
Marcus = 38 - 18 = 20
sum

Question 19

In 2024, the Tushar family consists of: - Tushar (Father): 42 years - Shweta (Mother): 40 years - Farhan (Son): 21 years - Hannah (Daughter): 18 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 141 What will be the sum of their ages after 12 years?
Current sum = 121. Each person ages 12 years → +48 = 169
case_study, comprehensive

Question 20

Riddhima is 20, Christopher is 15. After 2 years, what is the ratio of their ages?
Riddhima: Christopher = 22:17, after 2 years.
future_ratio
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