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    Question

    Five years ago, the age of A was 3 times the age of B.

    After 7 years, the difference between their ages will be 28 years. Find the present age of A.
    A 55 yrs Correct Answer Incorrect Answer
    B 24 yrs Correct Answer Incorrect Answer
    C 38 yrs Correct Answer Incorrect Answer
    D 47 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let present ages be x and y.
    x тАУ 5 = 3(y тАУ 5)
    x + 7 тАУ (y + 7) = 28
    тЗТ x тАУ y = 28
    From first:
    x тАУ 5 = 3y тАУ 15
    x = 3y тАУ 10
    Substitute:
    3y тАУ 10 тАУ y = 28
    2y = 38
    y = 19
    x = 3(19) тАУ 10 = 47
    Present age of A = 47 years

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