Question

the denominator of a rational number is greater than its numerator by 8 if the denominator is increased by one and the number is increased by 17 the number obtained is 3/2 find original number​

Answer 1

$here$

If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. Find the rational number. Let the numerator of the rational number be x. So as per the given condition, the denominator will be x + 8.

Answer 2

Answer:

$\frac{13}{21}$

Suppose numerator of the rational number is p, then denominator is p+8.

Rational number is p+8p.

Numerator is increased by 17, then it becomes p+17.

Denominator is decreased by 1, then it becomes p+8−1=p+7

New rational number is p+7p+17=23

⇒2p+34=3p+21

⇒p=13

Thus numerator is 13.

Denominator is p+8=13+8=21

Therefore, the rational number is 13/21