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Age Problems - Beginner-Intermediate Level: average age BEGINNER-INTERMEDIATE

Strategic fast track practice for age problems: 20 beginner-intermediate-level problems. Worksheet 9 of 30 - Focus: average age. Develop expertise in present age, past age, future age with step-by-step solutions. Ideal for developing learners targeting building on fundamentals with moderate challenges.

📝 Worksheet 9 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner-intermediate level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 9 of 30 (30% complete)

Question 1

A is 13 years older than B. The sum of their ages after 8 years will be 59. Find A's present age.
Let A=28, B=15. After 8 years: A=36, B=23, sum=59. Therefore A = 28
multi_stage

Question 2

The sum of A and B's ages is 52. Twice A's age minus B's age is 5. Find A's age.
A + B = 52
2A - B = 5
Adding the two equations: (A + B) + (2A - B) = 52 + 5
3A = 57
A = 19
Verification: B = 52 - 19 = 33
2(19) - 33 = 5 = 5 ✓
equation

Question 3

Two liquids mixed in ratio 4:1 make 45 liters. The elder person's age equals the larger quantity, the younger's equals the smaller. Age difference?
Larger quantity = 36L, smaller = 9L. Age difference = 36 - 9 = 27
integrated, multi_topic

Question 4

One person's age is 3 times another. If sum of ages is 56, what are their ages?
Let x: base, 3x: second. x + 3x = 56 → x = 14, 3x = 42
geometry

Question 5

A is 11 years older than B. The sum of their ages after 6 years will be 51. Find A's present age.
Let A=25, B=14. After 6 years: A=31, B=20, sum=51. Therefore A = 25
multi_stage

Question 6

The sum of ages of all family members is 108 and their average age is 27. How many members are there in the family?
number = total / average = 108 / 27 = 4
member_count

Question 7

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 8

The sum of A and B's ages is 44. Twice A's age minus B's age is 25. Find A's age.
A + B = 44
2A - B = 25
Adding the two equations: (A + B) + (2A - B) = 44 + 25
3A = 69
A = 23
Verification: B = 44 - 23 = 21
2(23) - 21 = 25 = 25 ✓
equation

Question 9

Two liquids mixed in ratio 2:1 make 34 liters. The elder person's age equals the larger quantity, the younger's equals the smaller. Age difference?
Larger quantity = 22L, smaller = 12L. Age difference = 22 - 12 = 10
integrated, multi_topic

Question 10

In 2015, X was 20 and Y was 28. In 2025, X will be 30 and Y will be 38. How did the age difference change over 10 years?
Difference in 2015: 8, in 2025: 8. Age difference remains constant.
data_interpretation, table

Question 11

Emily is now 20. How old was Emily 5 years ago?
Past: 20 - 5 = 15
tense

Question 12

In 2024, the Shailesh family consists of: - Shailesh (Father): 50 years - Louis (Mother): 48 years - Waylon (Son): 15 years - Violet (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 145 What will be the sum of their ages after 15 years?
Current sum = 125. Each person ages 15 years → +60 = 185
case_study, comprehensive

Question 13

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 14

Grandfather is 70 years old, his son is 45 years old, and his grandson is 25 years old. What is the sum of their ages?
Sum = 70 + 45 + 25 = 140
family_tree

Question 15

Ages of 4 family members: [31, 31, 24, 21]. 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 16

Grandfather is 73 years old, his son is 47 years old, and his grandson is 29 years old. What is the sum of their ages?
Sum = 73 + 47 + 29 = 149
family_tree

Question 17

Ratio of ages of Monika to Deepak is 5:2, and the difference is 15. How old is Monika?
Let Monika = 5x, Deepak = 2x
Difference = 5x - 2x = 3x = 15
Therefore x = 15 ÷ 3 = 5
Monika = 5 × 5 = 25
ratio

Question 18

The average age of a group is 23. The sum of their ages is 138. How many people are there in the group?
Count = sum / average = 138 / 23 = 6
group_size

Question 19

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 20

A is 7 years older than B. The sum of their ages after 7 years will be 57. Find A's present age.
Let A=25, B=18. After 7 years: A=32, B=25, sum=57. Therefore A = 25
multi_stage
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