## (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​

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

1. 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