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