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    Denominator of a rational number exceeds its numerator by 8. If 17 is added to the numerator and 1 is subtracted from denominator we get the rational
    Question

    Denominator of a rational number exceeds its numerator by 8. If 17 is added to the numerator and 1 is subtracted from denominator we get the rational number 3/2, then the rational number is

    A.

    13/21

    B.

    21/13

    C.

    13/7

    D.

    7/13

    Correct option is A

    (x+17)2 = (x+7)3
    2x + 34 = 3x + 21
    3x – 2x = 34 – 21
    X = 13
    So,
    The value of x is 13, which means the denominator is 8 more than the numerator which is given in the question.


    =13/21

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