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Age Problems - Advanced Level: age equations ADVANCED

Quick competitive exam prep session: 20 advanced-level age problems questions. Worksheet 27 of 30 - Focus: age equations. Practice age differences, sum of ages, product of ages with instant feedback. Great for advanced students needing complex scenarios and multi-step problems practice.

📝 Worksheet 27 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 27 of 30 (90% complete)

Question 1

One person's age is 2 times another. If sum of ages is 36, what are their ages?
Let x: base, 2x: second. x + 2x = 36 → x = 12, 2x = 24
geometry

Question 2

Ages of 4 people Connor, Andrew, Sandeep, Milo are in AP. Their current sum is 106. After 3 years, sum will be 118. Find the youngest person's age.
In AP, sum increases by 4×3=12. Current ages form AP starting with 22.
AP

Question 3

In 2024, the Robert family consists of: - Robert (Father): 41 years - Tanu (Mother): 37 years - Seema (Son): 20 years - Nova (Daughter): 16 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 was the ratio of Robert's age to Seema's age 4 years ago?
4 years ago: Robert = 37, Seema = 16 → Ratio = 37:16
case_study, comprehensive

Question 4

The average age of a group is 26. The sum of their ages is 104. How many people are there in the group?
Count = sum / average = 104 / 26 = 4
group_size

Question 5

10 years ago, A was half as old as B. In 5 years, what will be the age difference between B and A?
10 years ago: A was 18, B was 26. Check: 18 = ½ × 26 ✓
Present ages: A = 28, B = 36
In 5 years: A = 33, B = 41
Age difference = |41 - 33| = 8
(Age difference stays constant over time = B - A = 8)
chronological_chain

Question 6

Present ages of Ria, Naomi, Audrey are in ratio 2:3:4. Sum of ages is 54. Find Ria's age.
Let ages be 2x, 3x, 4x. Sum = 9x = 54, so x = 6. Ria = 2×6 = 12
complex_ratio

Question 7

The average age of a group is 27. The sum of their ages is 81. How many people are there in the group?
Count = sum / average = 81 / 27 = 3
group_size

Question 8

A is 4 years older than B. If B is 9 and A is 7, is the data correct?
If B is 9, A should be 13. But A is 7. Data is inconsistent.
contradiction

Question 9

In 2024, the Kailash family consists of: - Kailash (Father): 45 years - Sarah (Mother): 40 years - Giselle (Son): 18 years - Harper (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 138 Based on the relationships, what is Sarah's current age?
From given relationships, Sarah's age = 40
case_study, comprehensive

Question 10

Statement 1: A is 5 years older than B. Statement 2: B is 15 years old.
B's age is given, so A's age is just B+5.
assertion_reason

Question 11

The average age of a group is 20. The sum of their ages is 100. How many people are there in the group?
Count = sum / average = 100 / 20 = 5
group_size

Question 12

Ages of 4 people Hari, Enzo, Vikram, Ellie are in AP. Their current sum is 78. After 6 years, sum will be 102. Find the youngest person's age.
In AP, sum increases by 4×6=24. Current ages form AP starting with 15.
AP

Question 13

One person's age is 3 times another. If sum of ages is 44, what are their ages?
Let x: base, 3x: second. x + 3x = 44 → x = 11, 3x = 33
geometry

Question 14

In 2024, the Ram family consists of: - Ram (Father): 45 years - Vedika (Mother): 42 years - Ganesh (Son): 16 years - Kaylee (Daughter): 12 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 15 years?
Current sum = 115. Each person ages 15 years → +60 = 175
case_study, comprehensive

Question 15

Nirmala is 10% older than Sapna. If Sapna is 24 years, how old is Nirmala?
Nirmala = 24 + (10% of 24) = 24 + 2 = 26
percentage

Question 16

The sum of A and B's ages is 35. Twice A's age minus B's age is 25. Find A's age.
A + B = 35
2A - B = 25
Adding the two equations: (A + B) + (2A - B) = 35 + 25
3A = 60
A = 20
Verification: B = 35 - 20 = 15
2(20) - 15 = 25 = 25 ✓
equation

Question 17

Ages of 4 family members: [27, 38, 39, 38]. 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: 4, prob = 0/4
probability

Question 18

In 2015, X was 25 and Y was 26. In 2025, X will be 35 and Y will be 36. How did the age difference change over 10 years?
Difference in 2015: 1, in 2025: 1. Age difference remains constant.
data_interpretation, table

Question 19

Sum of A and B's ages is 58. After 5 years, A will be 2 times as old as B. What is the maximum possible age of A now?
A + B = 58, (A+5) = 2*(B+5) → A = 40.3 → max A = 40
optimization, inequality

Question 20

In 4 years, Jai will be 2 times as old as Vikram will be then. Vikram's present age is 9. What is Jai's present age?
Jai+4=2*(9+4) -> Jai=2*(9+4)-4=22
multiple
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