Question

The denominator of a fraction is 1more than double the numetator. On adding 2 to the numerator and subtracting 3from the denominator,we obtain1. Find the original fraction

Answer 1

Heya !

Here's your answer !!

___________________________

Let the numerator be x

Denominator = 2x + 1

The fraction obtained :

$\frac{x}{2x + 1 }$

Adding 2 to numerator and subtracting 3 from denominator, we get

$\frac{x + 2 }{2x + 1 - 3 }= 1$


By Cross multiplication :

=> 1 ( x + 2 ) = 1 ( 2x - 2 )

=> x + 2 = 2x - 2

=> 2x - x = 2 + 2

=> x = 4

__________________________

Numerator = 4

Denominator = 2 × 4 + 1 = 9


The original fraction is :

$\bf{\frac{4}{9}}$


__________________________

Thanks !!