Q14 of 90 Page 111

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


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