If i adds 2 to the numerator of a fraction,the fraction becomes 1/3.If he subtracts 3 from the denominator of the fraction,it becomes 1/4.What is the fraction?

Answer 1

let the fraction be x/y
(x+2)/y = 1/3 --> 3x + 6 = y

x/(y-3) = 1/4 ---> 4x = y-3 or y = 4x+3

then 4x+3 = 3x+6
x = 3,
y = 15

your fraction was 3/15