Question

find the fraction which is equal to 1/2 when both its numerator and denominator are increased by 2.it is equal to 3/4 when both are increased by 12.

Answer 1

let the numerator be x and denomentar be y
(x+2)/(y+2)=1/2
2x+4=y+2
2x-y=-2
4x-2y=-4

when
(x+12)/(y+12)=3/4
4x+48=3y+36
4x-3y=-12

from both the eq
y=8
x=3

so fraction is
3/8

Answer 2

here is your answer...
when the fraction is increased by 12 the fraction becomes 13/14
hope this helps you..