Age Problems - Beginner Level: age differences BEGINNER

Master age problems concepts through this speed drill practice set. Worksheet 6 of 30 contains 20 beginner-level problems. Deep dive into age differences while learning age differences, sum of ages, product of ages. Recommended for entry-level learners aiming for foundational concepts and basic patterns.

📝 Worksheet 6 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner level

What you'll learn in this worksheet:
Your progress through Age Problems
Worksheet 6 of 30 (20% complete)

Question 1

A is 2 times as old as B. If B is 24, what is A's age?
A = 2 × 24 = 48

Question 2

Given: Chaitra > Ritu, Ritu > Suraj, and Chaitra + Suraj < 53. If all ages are integers, what is the minimum possible age of Chaitra?
With given constraints, minimum Chaitra = 24 (since Chaitra > Ritu > Suraj and all integers)

Question 3

Given: Shweta > Lucy, Lucy > Tarun, and Shweta + Tarun < 56. If all ages are integers, what is the minimum possible age of Shweta?
With given constraints, minimum Shweta = 22 (since Shweta > Lucy > Tarun and all integers)

Question 4

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 15, B was 20. Check: 15 = ½ × 20 ✓
Present ages: A = 25, B = 30
In 5 years: A = 30, B = 35
Age difference = |35 - 30| = 5
(Age difference stays constant over time = B - A = 5)

Question 5

A is 4 times as old as B. If B is 33, what is A's age?
A = 4 × 33 = 132

Question 6

Ratio of ages of Christian to Ratna is 4:5, and the difference is 3. How old is Ratna?
Let Christian = 4x, Ratna = 5x
Difference = 5x - 4x = 1x = 3
Therefore x = 3 ÷ 1 = 3
Ratna = 5 × 3 = 15

Question 7

People: Gael, Nandini, Delilah Clues: Gael is older than Nandini. Delilah is the youngest. The sum of their ages is 78.
Deduce from clues and order.

Question 8

A is 4 times as old as B. If B is 22, what is A's age?
A = 4 × 22 = 88

Question 9

People: Manan, Rajiv, Chaitra Clues: Manan is older than Rajiv. Chaitra is the youngest. The sum of their ages is 74.
Deduce from clues and order.

Question 10

A is 24 years old. In 18 years, A will complete 5 tasks per year. How many tasks will A have completed altogether after 18 years?
Each year, task: 5. For 18 years: 18 × 5 = 90

Question 11

Tarun and Bennett together are 33. If Tarun is 20, what is Bennett's age?
Bennett = 33 - 20 = 13

Question 12

People: Sharad, Peter, Suman Clues: Sharad is older than Peter. Suman is the youngest. The sum of their ages is 86.
Deduce from clues and order.

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)

Question 14

The sum of A and B's ages is 56. Twice A's age minus B's age is 10. Find A's age.
A + B = 56
2A - B = 10
Adding the two equations: (A + B) + (2A - B) = 56 + 10
3A = 66
A = 22
Verification: B = 56 - 22 = 34
2(22) - 34 = 10 = 10 ✓

Question 15

Manan is 17, Ian is 16. After 5 years, what is the ratio of their ages?
Manan: Ian = 22:21, after 5 years.

Question 16

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.

Question 17

A is 11 years younger than B. The sum of their ages after 7 years will be 61. Find A's present age.
Let A=18, B=29. After 7 years: A=25, B=36, sum=61. Therefore A = 18

Question 18

Ratio of ages of Michael to Aria is 5:3, and the difference is 4. How old is Michael?
Let Michael = 5x, Aria = 3x
Difference = 5x - 3x = 2x = 4
Therefore x = 4 ÷ 2 = 2
Michael = 5 × 2 = 10

Question 19

Given: Calvin > Milind, Milind > Sameer, and Calvin + Sameer < 55. If all ages are integers, what is the minimum possible age of Calvin?
With given constraints, minimum Calvin = 24 (since Calvin > Milind > Sameer and all integers)

Question 20

In 2024, the Wyatt family consists of: - Wyatt (Father): 43 years - Lata (Mother): 39 years - Nolan (Son): 15 years - Dhara (Daughter): 11 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 128 What was the ratio of Wyatt's age to Nolan's age 3 years ago?
3 years ago: Wyatt = 40, Nolan = 12 → Ratio = 40:12
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