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

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

About the author
Elliana

1 thought on “The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator i”

  1. Answer:

    an swer:

    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 xx+8

    According to the given condition,

    x+17x+8−1=32

    x+17x+7=32

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

    3x + 21 = 2x + 34

    3x – 2x + 21 – 34 = 0

    x – 13 = 0

    x = 13

    The rational number will be

    = xx+8

    = 1313+8

    Rational number = 13/21

    Reply

Leave a Comment