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

Step-by-step explanation:

Let the numerator be x.

So, denominator = 2x-2.

IF 3 is added to both then the fraction becomes 2/3.

$ATQ, \frac{x+3}{2x-2+3} = \frac{2}{3} \\ or, \frac{x+3}{2x+1} = \frac{2}{3} \\\\ or, 3(x+3) = 2(2x+1)\\ or, 3x+9 = 4x+2\\ or, 4x-3x = 9-2 \\ or, x = 7$

The fraction will be x/2x-2

                             = 7/14-2

                            = 7/12

Answer: 7/12

HOPE IT HEPLS YOU :)