A fraction becomes 2/3 when 1 is added to both, its numerator and denominator. And ,it becomes 1/2 when 1 is subtracted from both the numerator and denominator. Find the fraction.
Let the required fraction be x/y. Then,
x+1 / y+1 = 2 / 3
=> 3x – 2y = - 1 …(i) and x – 1 / y – 1 = 1 / 2
2x – y = 1 …(ii)
Solving (i) and (ii), we get :
x = 3 , y = 5 therefore,
Required fraction= 3 / 5.
