Question

the denominator of a rational number is greater than its numerator by 8 . if the numerator is increased by 17 and the denominator is increased by 1, the number obtained is 3/2. Find the number​

Answer 1

let the numerator=x

then, denominator= x+8

if increased:-

numerator= x+17

denominator= x+8+1=x+9

according to question

x+17/x+9= 3/2

3(x+9)= 2(x+17)

3x+27= 2x+ 34

3x-2x= 34-27

x=7

numerator= 7+17=24

denominator= 7+9=16

rational number=24/16