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    Question

    The ratio of A's age to B's age after 18 years will be

    5:6. Seven years ago, the ratio of their ages was 5:7. Find the present average age of A and B.
    A 47 years Correct Answer Incorrect Answer
    B 42 years Correct Answer Incorrect Answer
    C 38 years Correct Answer Incorrect Answer
    D 37 years Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let age of A and B after 18 years be 5x years and 6x years respectively.
    According to question;
    (5x – 25)/(6x – 25) = 5/7
    (x – 5)/(6x – 25) = 1/7
    7x – 35 = 6x – 25
    x = 10
    Desired Average = (50 + 60 – 36)/2 = 37 years

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