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Question

The ratio of the present ages of father and his son is 7:4. The product of their ages 4 years ago was 31 times of his son’s age that year. What was son’s age 3 year ago?

A 17 years Correct Answer Incorrect Answer
B 12 years Correct Answer Incorrect Answer
C 13 years Correct Answer Incorrect Answer
D 16 years Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let present age of father and son be 7x and 4x respectively. According to question,   => (7x – 4) (4x – 4) = 31 × (4x – 4)   => (7x – 4) = 31 => 7x = 35   => x = 5 Therefore, son’s age 3 years ago = (4x – 3) = 17 years

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