In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to the denominator, the new fraction is . Find the original fraction.

Let the fraction be


According to the question


- (A)



Putting (A) y = 2x - 2 we get


By cross multiplication


3(x + 3) = 2(2x - 2 + 3)


3x + 9 = 4x + 2


x = 7


y = 2x - 2 = 14 - = 12


So the fraction is


14