The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2 : 3. Determine the fraction.

Answer

`(5)/(9)`

Explanation

Let the required fraction be `(x)/(y)`.
Then, `x+ y -4= 2x rArr y -x = 4`.
` (x + 3)/( y + 3) = (2)/(3)rArr 3x + 9 = 2y + 6 rArr 2y - 3x=3`.