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Question

The ratio of the present ages of father and his son is 7:5. The product of their ages 3 years ago was 32 times of his son’s age that year. What was son’s age 4 year ago?

A 17 years Correct Answer Incorrect Answer
B 12 years Correct Answer Incorrect Answer
C 21 years Correct Answer Incorrect Answer
D 26 years Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let present age of father and son be 7x and 5x respectively. According to question,   => (7x – 3) (5x – 3) = 32 × (5x – 3)   => (7x – 3) = 32   => 7x = 35   => x = 5   Therefore, son’s age 4 years ago = (5x – 4) = 21 years

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