Question

In a fraction, twice the numerator is two more than the denominator. If 3 is added to numerator and denominator the new fraction formed is 2/3 . Find the original fraction.​

Answer 1

Answer:

Given when 3 is added to both the numerator and denominator, the fraction becomes 2/3. Therefore the fraction is 7/12.

Answer 2

twice the numerator is two more than the denominator

so

let the numerator = x

then denominator = 2x-3

if we add 3 to both

$\frac{x + 3}{(2x - 3) + 3} = \frac{2}{3} \\ \\ \frac{x + 3}{2x} = \frac{2}{3} \\ \\ 3(x + 3) = 2(2x) \\ 3x + 9 = 4x \\ 4x - 3x = 9 \\ x = 9$

numerator = 9

denominator = 2x -3 = 15

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