Problems on Ages
Q. The present age of a grandfather is 4 times that of his grandson. If the grandson is 5 years old, what is the grandfather's age?
Solution
If the grandson is 5 years old, then the grandfather is 4 * 5 = 20 years old.
Correct Answer: D — 30
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Q. The sum of the ages of a father and his son is 50 years. If the father is 30 years older than the son, how old is the son?
Solution
Let the son's age be x. Then the father's age is x + 30. So, x + (x + 30) = 50. Solving gives x = 10.
Correct Answer: C — 20
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Q. The sum of the ages of a father and his son is 50 years. If the father is 40 years old, how old is the son?
Solution
If the father is 40 years old, then the son is 50 - 40 = 10 years old.
Correct Answer: C — 20
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Q. The sum of the ages of a mother and her daughter is 50 years. If the mother is 4 times as old as her daughter, how old is the daughter?
Solution
Let the daughter's age be x. Then the mother's age is 4x. The equation is x + 4x = 50, which simplifies to 5x = 50, so x = 10.
Correct Answer: A — 10
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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?
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?
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?
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?
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?
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?
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?
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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