Question

Q21. In a fraction, twice the numerator is two more than the denominator. If 3 is added to the numerator and the denominator each, then the resultant fraction will be 2/3.What was the original fraction

Answer 1

Let the numerator be x Denominator = 2x − 2Therefore the fraction = x/2x − 2 Given when 3 is added to both the numerator and denominator, the fraction becomes 2/3. Hence (x + 3)/(2x  − 2 + 3) = 2/3  ⇒ (x + 3)/(2x + 1) = 2/3  ⇒ 3x + 9 = 4x + 2  ⇒ x = 7 Therefore the fraction is 7/12.