Question

    The ratio of the present ages of father and his son is 9:4. The product of their ages 3 years ago was 24 times of his son’s age that year. What was son’s age 2 year ago?

    A 17 years Correct Answer Incorrect Answer
    B 10 years Correct Answer Incorrect Answer
    C 13 years Correct Answer Incorrect Answer
    D 16 years Correct Answer Incorrect Answer

    Solution

    Let present age of father and son be 9x and 4x respectively. According to question,   => (9x – 3) (4x – 3) = 24 × (4x – 3)   => (9x – 3) = 24 => 9x = 27 => x = 3 Therefore, son’s age 2 years ago = (4x – 2) = 10 years

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