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    Question

    The ratio of the present ages of father and his son is

    9:5. The product of their ages 3 years ago was 33 times of his son’s age that year. What was son’s age 3 year ago?
    A 15 years Correct Answer Incorrect Answer
    B 17 years Correct Answer Incorrect Answer
    C 13 years Correct Answer Incorrect Answer
    D 19 years Correct Answer Incorrect Answer

    Solution

    Let present age of father and son be 9x and 5x respectively. According to question,   => (9x – 3) (5x – 3) = 33 × (5x – 3)   => (9x – 3) = 33 => 9x = 36 => x = 4 Therefore, son’s age 3 years ago = (5x – 3) = 17 years

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