Problems on Ages: Mastering Competitive Exam Concepts

Problems on Ages

Q. If the present age of a woman is 5 years more than twice the age of her son, and the son is currently 10 years old, what is the age of the woman?

A. 25
B. 30
C. 20
D. 35

Solution

The son's age is 10. Therefore, the woman's age is 2 * 10 + 5 = 20 + 5 = 25.

Correct Answer: A — 25

Q. If the present age of C is 3 times that of D and the sum of their ages is 48, what is the present age of D?

A. 8
B. 12
C. 16
D. 20

Solution

Let D's age be x. Then C's age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12.

Correct Answer: C — 16

Q. If the present age of C is 3 times that of D, and D is 8 years old, what is C's age?

A. 20
B. 24
C. 30
D. 32

Solution

If D is 8 years old, then C is 3 * 8 = 24 years old.

Correct Answer: B — 24

Q. If the present age of C is 3 times that of D, and the sum of their ages is 48 years, what is D's age?

A. 8
B. 12
C. 16
D. 20

Solution

Let D's age be x. Then C's age is 3x. So, x + 3x = 48, which gives 4x = 48, hence x = 12.

Correct Answer: B — 12

Q. If the present age of C is 4 years more than D, and D is 12 years old, what is the present age of C?

A. 14
B. 16
C. 12
D. 10

Solution

If D is 12 years old, then C is 12 + 4 = 16 years old.

Correct Answer: A — 14

Q. If the present age of E is 5 years more than F and the sum of their ages is 55, what is E's age?

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

Solution

Let F's age be x. Then E's age is x + 5. So, x + (x + 5) = 55, which gives 2x + 5 = 55, hence 2x = 50, x = 25. Therefore, E's age is 25 + 5 = 30.

Correct Answer: C — 35

Q. If the sum of the ages of A and B is 60 years and A is 10 years older than B, how old is A?

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

Solution

Let B's age be x. Then A's age is x + 10. So, x + (x + 10) = 60. Solving gives x = 25, hence A = 35.

Correct Answer: C — 35

Q. If the sum of the ages of A and B is 60 years and A is 10 years older than B, what are their ages?

A. 25, 35
B. 30, 30
C. 20, 40
D. 35, 25

Solution

Let B's age be x. Then A's age is x + 10. So, x + (x + 10) = 60. Solving gives x = 25. Therefore, A is 35 and B is 25.

Correct Answer: A — 25, 35

Q. In 10 years, a father will be twice as old as his son. If the son is currently 10 years old, how old is the father now?

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

Solution

Let the father's current age be x. In 10 years, x + 10 = 2(10 + 10). Solving gives x = 30.

Correct Answer: B — 30

Q. In 5 years, a man will be 3 times as old as his son. If the son is currently 5 years old, how old is the man now?

A. 15
B. 20
C. 25
D. 30

Solution

Let the man's current age be x. In 5 years, x + 5 = 3 * (5 + 5). Solving gives x = 25.

Correct Answer: C — 25

Q. In 5 years, A will be 3 times as old as B. If B is currently 10 years old, how old will A be in 5 years?

A. 15
B. 20
C. 25
D. 30

Solution

In 5 years, B will be 10 + 5 = 15. A will be 3 * 15 = 45. So, A's current age is 45 - 5 = 40.

Correct Answer: C — 25

Q. In 5 years, A will be 3 times as old as B. If B is currently 10 years old, how old is A now?

A. 15
B. 20
C. 25
D. 30

Solution

In 5 years, B will be 15. Therefore, A will be 3 * 15 = 45. So, A is currently 45 - 5 = 40 years old.

Correct Answer: B — 20

Q. Ten years ago, a man was twice as old as his son. If the man is currently 40 years old, how old is his son now?

A. 15
B. 20
C. 10
D. 25

Solution

Ten years ago, the man was 30 years old. If he was twice as old as his son then, the son was 30 / 2 = 15 years old. Now, the son is 15 + 10 = 25 years old.

Correct Answer: B — 20

Q. Ten years ago, a woman was 3 times as old as her son. If the son is now 10 years old, how old is the woman now?

A. 30
B. 40
C. 50
D. 60

Solution

Ten years ago, the son was 0 years old. Therefore, the woman was 3 * 0 = 0 years old. Now, she is 10 + 10 = 20 years old.

Correct Answer: B — 40

Q. Ten years ago, the age of a man was 3 times the age of his son. If the son is now 10 years old, how old is the man now?

A. 30
B. 40
C. 50
D. 60

Solution

Ten years ago, the son was 10 - 10 = 0 years old. The man was 3 * 0 = 0 years old then, so now he is 10 + 30 = 40 years old.

Correct Answer: B — 40

Q. Ten years ago, the age of A was three times the age of B. If B is now 15 years old, how old is A now?

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

Solution

Ten years ago, B was 15 - 10 = 5 years old. A was 3 * 5 = 15 years old then, so A is now 15 + 10 = 25.

Correct Answer: B — 30

Q. Ten years ago, the age of A was twice the age of B. If A is now 30 years old, how old is B now?

A. 10
B. 15
C. 20
D. 25

Solution

Ten years ago, A was 30 - 10 = 20 years old. Therefore, B was 20 / 2 = 10 years old then. Now, B is 10 + 10 = 20 years old.

Correct Answer: D — 25

Q. Ten years ago, the age of G was half of H's age. If H is now 30 years old, how old is G now?

A. 15
B. 20
C. 25
D. 30

Solution

Ten years ago, H was 20 years old. Therefore, G was 10 years old. Now, G is 10 + 10 = 20 years old.

Correct Answer: C — 25

Q. The age of a father is twice the age of his son. If the sum of their ages is 60 years, how old is the son?

A. 20
B. 25
C. 30
D. 15

Solution

Let the son's age be x. Then the father's age is 2x. The equation is x + 2x = 60, which simplifies to 3x = 60, so x = 20.

Correct Answer: B — 25

Q. The age of a grandfather is 3 times the age of his grandson. If the grandfather is 60 years old, how old is the grandson?

A. 15
B. 20
C. 25
D. 30

Solution

If the grandfather is 60 years old, then the grandson is 60 / 3 = 20 years old.

Correct Answer: B — 20

Q. The age of a grandfather is 3 times the age of his grandson. If the grandson is 15 years old, how old is the grandfather?

A. 30
B. 45
C. 60
D. 75

Solution

If the grandson is 15 years old, then the grandfather is 3 * 15 = 45 years old.

Correct Answer: C — 60

Q. The age of a grandfather is 4 times the age of his grandson. If the grandson is 8 years old, what is the grandfather's age?

A. 24
B. 32
C. 36
D. 40

Solution

If the grandson is 8 years old, then the grandfather is 4 * 8 = 32 years old.

Correct Answer: B — 32

Q. The age of a grandfather is 4 times the age of his grandson. If the grandson is 8 years old, how old is the grandfather?

A. 24
B. 32
C. 36
D. 40

Solution

If the grandson is 8 years old, then the grandfather is 4 * 8 = 32 years old.

Correct Answer: B — 32

Q. The age of a grandfather is three times the age of his grandson. If the grandson is 12 years old, what is the grandfather's age?

A. 30
B. 36
C. 40
D. 42

Solution

If the grandson is 12, then the grandfather is 3 * 12 = 36 years old.

Correct Answer: B — 36

Q. The age of a man is 5 years more than twice the age of his son. If the son is 10 years old, how old is the man?

A. 20
B. 25
C. 30
D. 35

Solution

If the son is 10 years old, then the man's age is 2 * 10 + 5 = 25 years.

Correct Answer: C — 30

Q. The age of a mother is 4 times that of her daughter. If the daughter is 8 years old, what is the mother's age?

A. 24
B. 32
C. 36
D. 40

Solution

If the daughter is 8 years old, then the mother is 4 * 8 = 32 years old.

Correct Answer: A — 24

Q. The age of a mother is 4 times the age of her daughter. If the daughter is 5 years old, how old is the mother?

A. 15
B. 20
C. 25
D. 30

Solution

If the daughter is 5 years old, then the mother is 4 * 5 = 20 years old.

Correct Answer: B — 20

Q. The age of a mother is 4 times the age of her daughter. If the daughter is 6 years old, how old is the mother?

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

Solution

If the daughter is 6 years old, then the mother is 4 * 6 = 24 years old.

Correct Answer: C — 24

Q. The age of a mother is 5 times the age of her daughter. If the daughter is 6 years old, what is the mother's age?

A. 24
B. 30
C. 36
D. 40

Solution

If the daughter is 6 years old, then the mother is 5 * 6 = 30 years old.

Correct Answer: A — 24

Q. The age of I is three times the age of J. If the difference in their ages is 24 years, how old is J?

A. 8
B. 12
C. 16
D. 20

Solution

Let J's age be x. Then I's age is 3x. The difference is 3x - x = 24, hence 2x = 24, x = 12. Therefore, J is 12 years old.

Correct Answer: C — 16

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