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. What is the fraction?

Correct Answer: 3/5

Explanation:

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), x = 3 , y = 5 therefore, Required fraction= 3/5