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    Question

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

    5:2. The product of their ages 4 years ago was 31 times of his son’s age that year. What was son’s age 2 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

    Solution

    Let present age of father and son be 5x and 2x respectively. According to question, => (5x – 4) (2x – 4) = 31 × (2x – 4) => (5x – 4) = 31 => 5x = 35 => x = 7 Therefore, son’s age 2 years ago = (2x – 2) = 12 years

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