Question

the denominator of a rational number is greater than it's numerator by 3 if 3 is substracted from the numerator and 2 is added to its denominator the new number becomes 1/5 find the original number

Answer 1

let the numerator be x
so denominator will be X+3
x-3/X+3+2=1/5
x-3/X+5=1/5
5x-15=X+5
5x-x =5+15
4x =20
x=20/4
x=5
original number is 5/8