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Age Problems - Expert Level: family ages EXPERT

Comprehensive self assessment worksheet covering 20 expert-level age problems problems. Worksheet 28 of 30 emphasizes family ages. Master sum of ages, product of ages, average age through detailed explanations. Difficulty: challenging problems and time-bound practice. Tailored for expert-level preparation.

📝 Worksheet 28 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 28 of 30 (93% complete)

Question 1

A is 20. What is (A+7) and (2A-4)? What is the value of (A+7)?
A+7=27; 2A-4=36
olympiad_expression

Question 2

Nishant is 17, Seema is 14. After 3 years, what is the ratio of their ages?
Nishant: Seema = 20:17, after 3 years.
future_ratio

Question 3

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 12, B was 14. Check: 12 = ½ × 14 ✓
Present ages: A = 22, B = 24
In 5 years: A = 27, B = 29
Age difference = |29 - 27| = 2
(Age difference stays constant over time = B - A = 2)
chronological_chain

Question 4

A is 4 years older than B. If B is 6 and A is 4, is the data correct?
If B is 6, A should be 10. But A is 4. Data is inconsistent.
contradiction

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

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 7

The average age of a group is 15. The sum of their ages is 30. How many people are there in the group?
Count = sum / average = 30 / 15 = 2
group_size

Question 8

In 7 years, Rachit will be 2 times as old as Renu will be then. Renu's present age is 7. What is Rachit's present age?
Rachit+7=2*(7+7) -> Rachit=2*(7+7)-7=21
multiple

Question 9

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 19, B was 28. Check: 19 = ½ × 28 ✓
Present ages: A = 29, B = 38
In 5 years: A = 34, B = 43
Age difference = |43 - 34| = 9
(Age difference stays constant over time = B - A = 9)
chronological_chain

Question 10

Bjorn is 15, Vasant is 20. After 4 years, what is the ratio of their ages?
Bjorn: Vasant = 19:24, after 4 years.
future_ratio

Question 11

In 2024, the Sharad family consists of: - Sharad (Father): 46 years - Chloe (Mother): 44 years - Gianna (Son): 22 years - Dharmesh (Daughter): 19 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 151 What was the ratio of Sharad's age to Gianna's age 8 years ago?
8 years ago: Sharad = 38, Gianna = 14 → Ratio = 38:14
case_study, comprehensive

Question 12

A car travels 126 km at 42 km/h. The driver's age is 2 times the travel time in hours. How old is the driver?
Time = Distance/Speed = 126/42 = 3 hours. Driver's age = 3 × 2 = 6
integrated, multi_topic

Question 13

Statement 1: A is 5 years older than B. Statement 2: B is 11 years old.
B's age is given, so A's age is just B+5.
assertion_reason

Question 14

A is 22 years old. In 19 years, A will complete 6 tasks per year. How many tasks will A have completed altogether after 19 years?
Each year, task: 6. For 19 years: 19 × 6 = 114
work_mix

Question 15

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 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 19, B was 28. Check: 19 = ½ × 28 ✓
Present ages: A = 29, B = 38
In 5 years: A = 34, B = 43
Age difference = |43 - 34| = 9
(Age difference stays constant over time = B - A = 9)
chronological_chain

Question 17

A is 4 years older than B. If B is 6 and A is 4, is the data correct?
If B is 6, A should be 10. But A is 4. Data is inconsistent.
contradiction

Question 18

One person's age is 2 times another. If sum of ages is 42, what are their ages?
Let x: base, 2x: second. x + 2x = 42 → x = 14, 2x = 28
geometry

Question 19

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 20

Silas is 25% younger than Ram. If Ram is 34 years, how old is Silas?
Silas = 34 - (25% of 34) = 34 - 8 = 26
percentage
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