Problems on Ages: Mastering Competitive Exam Concepts

Problems on Ages

Q. If the age of E is 5 years more than F, and F is 15 years old, how old is E?

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

Solution

E's age = F's age + 5 = 15 + 5 = 20 years.

Correct Answer: B — 20

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Q. If the present age of a father is 45 years and his son is 15 years old, in how many years will the father be twice as old as his son?

A. 10
B. 15
C. 20
D. 5

Solution

Let the number of years be x. In x years, the father's age will be 45 + x and the son's age will be 15 + x. The equation is 45 + x = 2(15 + x), which simplifies to 45 + x = 30 + 2x, so x = 15.

Correct Answer: A — 10

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Q. If the present age of a grandfather is 80 years and the age of his grandson is 20 years, how many years ago was the grandfather 3 times as old as the grandson?

A. 10
B. 20
C. 30
D. 40

Solution

Let x years ago, grandfather's age was 80 - x and grandson's age was 20 - x. We need 80 - x = 3(20 - x). Solving gives x = 10.

Correct Answer: B — 20

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Q. If the present age of a man is 3 times that of his son and the sum of their ages is 48 years, what is the age of the son?

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

Solution

Let the son's age be x. Then the man's age is 3x. So, x + 3x = 48. Solving gives x = 12.

Correct Answer: C — 16

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Q. If the present age of a man is 4 times that of his son, and after 5 years, the man will be 3 times as old as his son. What is the present age of the son?

A. 5
B. 10
C. 15
D. 20

Solution

Let the son's age be x. Then the man's age is 4x. In 5 years, 4x + 5 = 3(x + 5). Solving gives x = 10.

Correct Answer: B — 10

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Q. If the present age of a mother is 4 times that of her daughter and the daughter is 5 years old, what is the mother's age?

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: C — 25

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Q. If the present age of a mother is 4 times that of her son, and the son is 5 years old, what will be the mother's age in 5 years?

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

Solution

The mother is currently 4 * 5 = 20 years old. In 5 years, she will be 20 + 5 = 25 years old.

Correct Answer: B — 25

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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

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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

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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

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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

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Q. If the present age of C is 4 times that of D, and the sum of their ages is 50 years, what is D's age?

A. 10
B. 12
C. 15
D. 20

Solution

Let D's age be x. Then C's age is 4x. So, x + 4x = 50. Solving gives x = 10.

Correct Answer: A — 10

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Q. If the present age of C is 4 times that of D, and the sum of their ages is 50 years, what is the age of C?

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

Solution

Let D's age be x. Then C's age is 4x. So, x + 4x = 50. Solving gives x = 10, hence C = 40.

Correct Answer: D — 35

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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

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Q. If the present age of C is 4 years more than D, and D is 6 years old, what is C's age?

A. 8
B. 10
C. 6
D. 12

Solution

C's age = D's age + 4 = 6 + 4 = 10 years.

Correct Answer: A — 8

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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

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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

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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

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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

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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

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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

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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

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Q. K is 3 times as old as L. If the sum of their ages is 48, what is K's age?

A. 36
B. 24
C. 30
D. 18

Solution

Let L's age be x. Then K's age is 3x. So, x + 3x = 48. Solving gives x = 12, K's age = 3 * 12 = 36.

Correct Answer: A — 36

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Q. K is 4 years younger than L. If L is 28 years old, how old is K?

A. 22
B. 24
C. 26
D. 30

Solution

If L is 28 years old, then K is 28 - 4 = 24 years old.

Correct Answer: A — 22

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Q. K is half the age of L. If L is 60 years old, how old is K?

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

Solution

K's age = L's age / 2 = 60 / 2 = 30 years.

Correct Answer: C — 40

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Q. M is 4 years younger than N. If N is 24 years old, what is M's age?

A. 18
B. 20
C. 22
D. 26

Solution

M's age = N's age - 4 = 24 - 4 = 20 years.

Correct Answer: A — 18

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Q. M is 4 years younger than N. If N is 30 years old, how old is M?

A. 26
B. 28
C. 24
D. 22

Solution

M's age = N's age - 4 = 30 - 4 = 26 years.

Correct Answer: A — 26

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Q. O is 10 years older than P. If the sum of their ages is 70 years, what is P's age?

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

Solution

Let P's age be x. Then O's age is x + 10. So, x + (x + 10) = 70. Solving gives x = 30.

Correct Answer: B — 30

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Q. Q is 3 times the age of R. If the sum of their ages is 48 years, how old is R?

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

Solution

Let R's age be x. Then Q's age is 3x. So, x + 3x = 48. Solving gives x = 12.

Correct Answer: B — 12

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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

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Showing 31 to 60 of 95 (4 Pages)

Problems on Ages

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