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    Question

    The present ages of ‘X’ and ‘Y’ are in the ratio

    7:9. After 4 years, their ages will be in the ratio 11:13. What was X’s age 6 years before now?
    A 28 yrs Correct Answer Incorrect Answer
    B 13 yrs Correct Answer Incorrect Answer
    C 38 yrs Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let present ages of X and Y be 7x and 9x.

    ATQ:

    (7x + 4)/(9x + 4) = 11/13

    ⇒ 13(7x + 4) = 11(9x + 4)

    ⇒ 91x + 52 = 99x + 44

    ⇒ x = 1

    So, present age of X = 7x = 7 years

    X’s age 6 years ago = 7 – 6 = 1 year

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