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    Question

    The ratio of age of ‘X’ 3 years hence from now to

    the age of ‘Y’ 7 years ago from now is 5 : 4. If the sum of their present ages is 49 years, then find the present age of ‘Y’.
    A 21 years Correct Answer Incorrect Answer
    B 27 years Correct Answer Incorrect Answer
    C 25 years Correct Answer Incorrect Answer
    D 29 years Correct Answer Incorrect Answer

    Solution

    Let the present ages of ‘X’ and ‘Y’ be ‘p’ years and ‘q’ years respectively. Then,
    p + q = 49 Or,
    q = 49 − p ATQ, [{(p + 3)}/{(q - 7)} = {5/4}
    ] Or,
    4(p + 3) = 5(q − 7) Or,
    4p + 12 = 5q − 35 Or,
    4p − 5q = −47 Or,
    4p − 5(49 − p) = −47 Or,
    4p − 245 + 5p = −47 Or,
    9p = 198 Or,
    p = 22 Or, q = 49 − 22 = 27 years

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