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Age Problems - Advanced Level: product of ages ADVANCED

Exam-focused holistic practice ★ worksheet: 20 advanced-level age problems questions. Worksheet 23 of 30 targets product of ages. Build proficiency in present age, past age, future age with detailed solutions. Ideal for advanced competitive exam preparation.

📝 Worksheet 23 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 23 of 30 (76% complete)

Question 1

People: Subhash, Noah, Freya Clues: Subhash is older than Noah. Freya is the youngest. The sum of their ages is 39.
Deduce from clues and order.
logic_grid

Question 2

Seema is 5 years older than Manmohan. If Manmohan is 10, how old is Seema?
Seema = Manmohan + 5 = 10 + 5 = 15
basic

Question 3

Zoey is now 19. How old will Zoey be after 4 years?
Future: 19 + 4 = 23
tense

Question 4

In 3 years, Aaliyah will be 3 times as old as Vishal will be then. Vishal's present age is 10. What is Aaliyah's present age?
Aaliyah+3=3*(10+3) -> Aaliyah=3*(10+3)-3=36
multiple

Question 5

A is 4 years older than B. If B is 7 and A is 5, is the data correct?
If B is 7, A should be 11. But A is 5. Data is inconsistent.
contradiction

Question 6

Given: Dylan > Sienna, Sienna > Mayank, and Dylan + Mayank < 59. If all ages are integers, what is the minimum possible age of Dylan?
With given constraints, minimum Dylan = 24 (since Dylan > Sienna > Mayank and all integers)
inequality, ranges

Question 7

Ratio of ages of Ella to Indu is 3:2, and the difference is 6. How old is Ella?
Let Ella = 3x, Indu = 2x
Difference = 3x - 2x = 1x = 6
Therefore x = 6 ÷ 1 = 6
Ella = 3 × 6 = 18
ratio

Question 8

Grandfather is 74 years old, his son is 50 years old, and his grandson is 30 years old. What is the sum of their ages?
Sum = 74 + 50 + 30 = 154
family_tree

Question 9

A is 14. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=21; 2A-4=24
olympiad_expression

Question 10

The sum of A and B's ages is 42. Twice A's age minus B's age is 9. Find A's age.
A + B = 42
2A - B = 9
Adding the two equations: (A + B) + (2A - B) = 42 + 9
3A = 51
A = 17
Verification: B = 42 - 17 = 25
2(17) - 25 = 9 = 9 ✓
equation

Question 11

Lokesh is 4 years younger than Vivek. If Vivek is 12, how old is Lokesh?
Lokesh = Vivek - 4 = 12 - 4 = 8
basic

Question 12

Gauri is 40% older than Vivian. If Vivian is 39 years, how old is Gauri?
Gauri = 39 + (40% of 39) = 39 + 15 = 54
percentage

Question 13

Statement 1: A is 5 years older than B. Statement 2: B is 12 years old.
B's age is given, so A's age is just B+5.
assertion_reason

Question 14

One person's age is 3 times another. If sum of ages is 40, what are their ages?
Let x: base, 3x: second. x + 3x = 40 → x = 10, 3x = 30
geometry

Question 15

The sum of ages of all family members is 57 and their average age is 19. How many members are there in the family?
number = total / average = 57 / 19 = 3
member_count

Question 16

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 20, B was 30. Check: 20 = ½ × 30 ✓
Present ages: A = 30, B = 40
In 5 years: A = 35, B = 45
Age difference = |45 - 35| = 10
(Age difference stays constant over time = B - A = 10)
chronological_chain

Question 17

Table shows ages: 2020: X=33, Y=34, Z=30 2025: X=38, Y=39, Z=35 How did the ratio of X:Y's ages change from 2020 to 2025?
2020 ratio: 33:34, 2025 ratio: 38:39
data_interpretation, table

Question 18

A is 4 years older than B. If B is 10 and A is 8, is the data correct?
If B is 10, A should be 14. But A is 8. Data is inconsistent.
contradiction

Question 19

Silas is 3 years younger than Raveena. If Raveena is 14, how old is Silas?
Silas = Raveena - 3 = 14 - 3 = 11
basic

Question 20

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
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