Question

The denominator of a 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 $\frac{3}{2}$. Find the rational number.

Answer 1

that's the answer hope it helps you

Answer 2

Let the numerator be x
then denominator will be x+8
fraction = x/x+8
A.T.Q.
x+17/x+8-1 = 3/2
x+17/x +7 = 3/2
By cross multiplication
2(x+17) = 3(x+7)
2x + 34 = 3x + 21
=> 34-21 = 3x - 2x
=> 13 = x
=> x = 13
Fraction = 13/13+8
= 13/21
Hope it helps you buddy. ;)