Question

In a fraction twice the numerator is 2 more than the denominator if she is added to the numerator and to the denominator the new faction is 2 / 3 find the original fraction

Answer 1

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

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8 ANSWERS

Badarinath Hs, Civil engineer
Answered Sep 4, 2017 · Author has 10.5k answers and 2.7m answer views

Let the original fraction be n/d.

2n= d+2 …(1)

(n+3)/(d+3) = 2/3, or

3(n+3) = 2(d+3), or

3n +9 = 2d + 6, or

3n = 2d-3 …(2)

Multiply (1) by 3 to get 6n =3d+6 …(1a)

Multiply (2) by 2 to get 6n =4d-6 …(2a)

Equate (1a) and (2a), or

3d + 6 = 4d -6, or

4d-3d = 6+6, or

d = 12

Hence , 2n= d+2 = 12+2 = 14 or n = 7

The original fraction is 7/12.

Check: (7+3)/(12+3) = 10/15 = 2/3. Correct