Question

the denominator of rational number is greater than its numerator by 8 if the numirator s increased by 17 and the denominator is decreased by 1 the number of obtain is 3/2 find the rational number​

Answer 1

Answer:

The Answer is $\frac{13}{21}$

Step-by-step explanation:

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

Rational number is   $\frac{p}{p+8}$

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  

$\frac{p+17}{p+7} =\frac{3}{2}$  

⇒2p+34=3p+21

⇒p=13

Thus numerator is 13.

Denominator is p+8=13+8=21

Therefore, the rational number is    $\frac{13}{21}$.