Question

if a rational number denominator is greater than numerator by 8. if you increase the numerator by 17 and decrease the denominator by 1 you get 3 / 2 as your result .find the number

Answer 1

Let the numerator be x
Then the denominator will be x+8
Increase the numerator by 17 and decrease the denominator by 1 then we get x+17 and x+7
x+17/x+7=3/2
2(x+17)=3(x+7)
2x+34=3x+21
34-21=3x-2x
13=x
Denominator=13+8=21