Question

the denominator of a rational number is greater than its numerator by 8 . if the numerator is increased by 17 & the is decreased by 1, the number obtained is 3/2. find the number ​

Answer 1

Answer:

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