**Question:**

A fraction becomes 1/3 when 1 is subtracted from both the numerator and the denominator. The same fraction becomes 1/2 when 1 is added to both the numerator and the denominator. The sum of numerator and denominator of fraction is....exp

According to first condition,(x-1)/(y-1)=1/3

=3x-y=2......(1)

According to 2nd condition

(x+1)/(y+1)=1/2

=2x-y=-1.......(2)

From(1)-(2)

x=3 therefore y=7

Hence, x+y=10

6

__10__

8/5