Question

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

Answer 1

Answer:

$\frac{13}{21}$

Step-by-step explanation:

Let the numerator be x

Then the denominator be x+8

ATQ, $\frac{x+17}{x+8-1}=\frac{3}{2}$

=>$\frac{x+17}{x+7}=\frac{3}{2}$

After cross multiplication

=>2x+34=3x+21

=>3x-2x=34-21

=>x=13

∴Fraction is $\frac{13}{21}$