Question

A fraction reduces to 1/5 if we substract 1 from numerator and add 2 the denominator. it reduces to 3/4 if we add 3 to the numerator.

Answer 1

let numerator =x
demo =y
x-1/y+2=1/5
5x-5=y+2
5x-y=7. eq. 1

x+3/y=3/4
4x+12=3y
4x-3y=-12. eq. 2

by solving eq 1 and 2
we get
x= 47/11
y =238/11

Answer 2

The fraction is
$\frac{517}{268}$