(8) The denominator of a rational number is greater than its numerator by 8. If the numerator is 3 increased by 17 and denominator

Question

(8) The denominator of a rational number is greater than its numerator by 8. If the numerator is
3
increased by 17 and denominator is decreased by 1, the number obtained is Find the
rational number.
2
U​

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Peyton 1 month 2021-08-13T14:23:49+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-13T14:24:59+00:00

    Let the numerator of the rational number be x.

    So as per the given condition, the denominator will be x + 8.

    The rational number will be x/x + 8.

    According to the given cndition,

    x + 17/x + 8 – 1 = 3/2

    =x + 17/x + 7 = 3/2

    =2(x + 17) = 3(x + 7)

    =2x + 34 = 3x + 21

    =34 − 21 = 3x − 2x

    =x=13

    Numerator of the rational number = x = 13

    Denominator of the rational number = x + 8 = 13 + 8 = 21

    Rational number = 13/21

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