Question

A fraction becomes 1/3 when 2 is added to both its numerator and denominator. if 3 is added to both numerator and denominator it becomes 2/5. find the fraction

Answer 1

Fraction is 1/7..

1/7 + 2/2 = 3/9 = 1/3

1/7 +3/3 = 4/10 = 2/5

Answer 2

Let numerator be x
let denominator be y
Given,
x+2/y+2=1 / 3-----©
x+3/y+3=2/5 -----®
©--- 3x+6=y+2
3x-y+4=0 ----1 i.e x = -4+y/3---3

®----- 5x+15=2y+6
5x-2y+9=0 ----2
Sub 3 in 2
5(-4+y/3)-2y=-9
- 20+5y-6y/3 =-9
- 20-y/3 =-9
-y=-7
y = 7
Sub y = 7 in 3
i.e - 4+7/3
= 3/3
= 1