Question

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 2/3 . Find the original fraction.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

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. 


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