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Age Problems - Advanced Level: age puzzles ADVANCED

Boost your speed and accuracy with this high difficulty set 📈 worksheet. Worksheet 25 of 30 presents 20 advanced-level age problems problems. Focus on age puzzles while practicing future age, age ratios, age differences. Difficulty: complex scenarios and multi-step problems. Perfect for advanced test takers.

📝 Worksheet 25 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 25 of 30 (83% complete)

Question 1

People: Darpan, Matteo, Elias Clues: Darpan is older than Matteo. Elias is the youngest. The sum of their ages is 88.
Deduce from clues and order.
logic_grid

Question 2

One person's age is 2 times another. If sum of ages is 45, what are their ages?
Let x: base, 2x: second. x + 2x = 45 → x = 15, 2x = 30
geometry

Question 3

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

Question 4

The sum of A and B's ages is 49. Twice A's age minus B's age is 11. Find A's age.
A + B = 49
2A - B = 11
Adding the two equations: (A + B) + (2A - B) = 49 + 11
3A = 60
A = 20
Verification: B = 49 - 20 = 29
2(20) - 29 = 11 = 11 ✓
equation

Question 5

Ages of 5 family members: [28, 19, 30, 21, 40]. If one is picked at random, what is the probability that member is under 18? Give answer as a fraction.
Number under 18: 0, total: 5, prob = 0/5
probability

Question 6

Grandfather is 64 years old, his son is 43 years old, and his grandson is 25 years old. What is the sum of their ages?
Sum = 64 + 43 + 25 = 132
family_tree

Question 7

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

Question 8

Sarah is 7 years older than Shravan. If Shravan is 16, how old is Sarah?
Sarah = Shravan + 7 = 16 + 7 = 23
basic

Question 9

Ages of 4 people Ella, Marco, Damini, Ratna are in AP. Their current sum is 96. After 3 years, sum will be 108. Find the youngest person's age.
In AP, sum increases by 4×3=12. Current ages form AP starting with 21.
AP

Question 10

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.
assertion_reason

Question 11

A is 3 years older than B. The sum of their ages after 8 years will be 71. Find A's present age.
Let A=29, B=26. After 8 years: A=37, B=34, sum=71. Therefore A = 29
multi_stage

Question 12

Ages of 5 family members: [16, 17, 21, 33, 14]. If one is picked at random, what is the probability that member is under 18? Give answer as a fraction.
Number under 18: 3, total: 5, prob = 3/5
probability

Question 13

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

Question 14

Given: Autumn > Kuldeep, Kuldeep > John, and Autumn + John < 57. If all ages are integers, what is the minimum possible age of Autumn?
With given constraints, minimum Autumn = 24 (since Autumn > Kuldeep > John and all integers)
inequality, ranges

Question 15

A is 8 years older than B. The sum of their ages after 6 years will be 60. Find A's present age.
Let A=28, B=20. After 6 years: A=34, B=26, sum=60. Therefore A = 28
multi_stage

Question 16

A is 16. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=23; 2A-4=28
olympiad_expression

Question 17

In 2024, the Xena family consists of: - Xena (Father): 43 years - Mridul (Mother): 41 years - Sanyam (Son): 17 years - Mehul (Daughter): 13 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 134 What will be the sum of their ages after 15 years?
Current sum = 114. Each person ages 15 years → +60 = 174
case_study, comprehensive

Question 18

The average age of a group is 26. The sum of their ages is 52. How many people are there in the group?
Count = sum / average = 52 / 26 = 2
group_size

Question 19

Ariana is now 13. How old will Ariana be after 9 years?
Future: 13 + 9 = 22
tense

Question 20

The sum of A and B's ages is 44. Twice A's age minus B's age is 19. Find A's age.
A + B = 44
2A - B = 19
Adding the two equations: (A + B) + (2A - B) = 44 + 19
3A = 63
A = 21
Verification: B = 44 - 21 = 23
2(21) - 23 = 19 = 19 ✓
equation
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