Problems on Ages: Mastering Competitive Exam Concepts

Problems on Ages

Q. G is 3 years older than H. If the sum of their ages is 45 years, how old is H?

A. 20
B. 21
C. 22
D. 23

Solution

Let H's age be x. Then G's age is x + 3. So, x + (x + 3) = 45. Solving gives x = 21.

Correct Answer: B — 21

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Q. G is 3 years older than H. If the sum of their ages is 45 years, what is G's age?

A. 21
B. 24
C. 27
D. 30

Solution

Let H's age be x. Then G's age is x + 3. So, x + (x + 3) = 45. Solving gives x = 21, hence G = 24.

Correct Answer: B — 24

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Q. G is 3 years younger than H. If H is 30 years old, how old is G?

A. 25
B. 27
C. 28
D. 30

Solution

If H is 30 years old, then G is 30 - 3 = 27 years old.

Correct Answer: A — 25

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Q. If A is 3 years older than B and B is 2 years younger than C, how old is C if A is 25 years old?

A. 24
B. 26
C. 27
D. 28

Solution

If A is 25 years old, then B is 25 - 3 = 22 years old. Since B is 2 years younger than C, C is 22 + 2 = 24 years old.

Correct Answer: B — 26

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Q. If a man is 45 years old now, how many years ago was he three times as old as his son, who is currently 15 years old?

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

Solution

Let x years ago, the man's age was 45 - x and the son's age was 15 - x. We have 45 - x = 3(15 - x). Solving gives x = 15.

Correct Answer: B — 15

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Q. If a man is 45 years old now, how many years ago was he twice as old as his son who is currently 15 years old?

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

Solution

Let x years ago, the man's age was 45 - x and the son's age was 15 - x. We have 45 - x = 2(15 - x). Solving gives x = 15.

Correct Answer: B — 15

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Q. If a mother is 6 times as old as her daughter now, and in 6 years, she will be 4 times as old as her daughter, how old is the daughter now?

A. 6
B. 4
C. 5
D. 3

Solution

Let the daughter's age be x. Then the mother's age is 6x. In 6 years, the mother will be 6x + 6 and the daughter will be x + 6. The equation is 6x + 6 = 4(x + 6), which simplifies to 6x + 6 = 4x + 24, so 2x = 18, and x = 9.

Correct Answer: C — 5

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Q. If a person is 25 years old now, how old will he be in 5 years?

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

Solution

In 5 years, the person will be 25 + 5 = 30 years old.

Correct Answer: B — 30

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Q. If I is 10 years older than J and the sum of their ages is 70 years, how old is I?

A. 30
B. 35
C. 40
D. 45

Solution

Let J's age be x. Then I's age is x + 10. So, x + (x + 10) = 70. Solving gives x = 30, hence I = 40.

Correct Answer: C — 40

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Q. If I is 12 years older than J and the sum of their ages is 60 years, what is I's age?

A. 24
B. 30
C. 36
D. 42

Solution

Let J's age be x. Then I's age is x + 12. So, x + (x + 12) = 60. Solving gives x = 24, hence I = 36.

Correct Answer: B — 30

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Q. If I is 3 years older than J and the sum of their ages is 45 years, what is I's age?

A. 21
B. 22
C. 23
D. 24

Solution

Let J's age be x. Then I's age is x + 3. So, x + (x + 3) = 45. Solving gives x = 21, thus I = 24.

Correct Answer: C — 23

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Q. If I is 5 years older than J and the sum of their ages is 45, what is J's age?

A. 20
B. 22
C. 25
D. 23

Solution

Let J's age be x. Then I's age is x + 5. So, x + (x + 5) = 45. Solving gives x = 20.

Correct Answer: B — 22

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Q. If the age of a grandfather is 70 years and the age of his grandson is 10 years, what is the ratio of their ages?

A. 7:1
B. 6:1
C. 5:1
D. 4:1

Solution

The ratio of their ages is 70:10, which simplifies to 7:1.

Correct Answer: A — 7:1

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Q. If the age of a woman is 3 times the age of her daughter and the sum of their ages is 48, how old is the daughter?

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

Solution

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

Correct Answer: C — 16

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Q. If the age of a woman is 3 times the age of her daughter and the sum of their ages is 48, what is the age of the daughter?

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

Solution

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

Correct Answer: C — 16

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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 boy is 12 years, what will be his age in 5 years?

A. 15
B. 16
C. 17
D. 18

Solution

In 5 years, the boy's age will be 12 + 5 = 17 years.

Correct Answer: A — 15

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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 30 years, what will be his age after 10 years?

A. 30
B. 35
C. 40
D. 45

Solution

After 10 years, the man's age will be 30 + 10 = 40 years.

Correct Answer: C — 40

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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 45 years, what will be her age in 10 years?

A. 50
B. 55
C. 60
D. 65

Solution

In 10 years, the woman's age will be 45 + 10 = 55 years.

Correct Answer: B — 55

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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 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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Showing 31 to 60 of 129 (5 Pages)

Problems on Ages

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