Question

The sum of numerator and denominator of a fraction is 3 less than twice the denominator. If each of numerator and denominator is decreased by 1 its fraction becomes one by two

Answer 1

Let the fraction be x/y

From the question,

x+y= 2y-3

y-x=3----------------- equation 1

x-1/y-1 = 1/2

2x-2=y-1

2x-y=1---------------- equation 2

On adding both the equations, we get x=4 and by substituting this value in any one of the equation, we get y=7.

Therefore the fraction is 4/7

Hope this helps!