Problems on Ages: Mastering Competitive Exam Concepts

Problems on Ages

Q. The sum of the ages of a mother and her daughter is 60 years. If the daughter is 20 years old, how old is the mother?

A. 30
B. 40
C. 50
D. 20

Solution

If the daughter is 20 years old, then the mother is 60 - 20 = 40 years old.

Correct Answer: B — 40

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Q. The sum of the ages of a mother and her daughter is 60 years. If the mother is 36 years old, how old is the daughter?

A. 20
B. 24
C. 26
D. 30

Solution

If the mother is 36 years old, then the daughter's age is 60 - 36 = 24 years.

Correct Answer: B — 24

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Q. The sum of the ages of a mother and her daughter is 60 years. If the mother is 4 times as old as her daughter, how old is the daughter?

A. 8
B. 10
C. 12
D. 15

Solution

Let the daughter's age be x. Then the mother's age is 4x. So, x + 4x = 60. Solving gives x = 12.

Correct Answer: B — 10

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Q. Three years ago, a man was 5 times as old as his son. If the man is currently 38 years old, how old is his son now?

A. 6
B. 7
C. 8
D. 9

Solution

Let the son's age be x. Three years ago, the man was 35 and the son was x - 3. So, 35 = 5(x - 3). Solving gives x = 8.

Correct Answer: C — 8

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Q. Three years ago, A was 2 times as old as B. If B is currently 12 years old, how old is A now?

A. 18
B. 20
C. 24
D. 30

Solution

Three years ago, B was 12 - 3 = 9 years old. A was 2 * 9 = 18 years old. Now, A is 18 + 3 = 21 years old.

Correct Answer: B — 20

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Q. Three years ago, A was 5 times as old as B. If B is now 10 years old, how old is A now?

A. 25
B. 30
C. 35
D. 40

Solution

Three years ago, B was 7 years old. Therefore, A was 5 * 7 = 35 years old. Now, A is 35 + 3 = 38 years old.

Correct Answer: B — 30

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Q. Three years ago, A was 5 times as old as B. If B is now 7 years old, how old is A now?

A. 25
B. 30
C. 35
D. 40

Solution

Three years ago, B was 4 years old. Therefore, A was 5 * 4 = 20 years old. Now, A is 20 + 3 = 23 years old.

Correct Answer: B — 30

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Q. Three years ago, A was 5 times as old as B. If B is now 8 years old, how old is A now?

A. 28
B. 30
C. 25
D. 20

Solution

Three years ago, B was 5 years old. Therefore, A was 5 * 5 = 25 years old. Now, A is 25 + 3 = 28 years old.

Correct Answer: A — 28

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Q. Three years ago, A was 5 years older than B. If B is now 12 years old, how old is A now?

A. 10
B. 12
C. 15
D. 18

Solution

Three years ago, B was 12 - 3 = 9 years old. A was 9 + 5 = 14 years old now.

Correct Answer: C — 15

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Problems on Ages

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