Question

The denominator of a fraction is 4 more than its numerator. On subtracting 1 from each numerator
and the denominator, the fraction becomes
1/2.find original number
The answer should come 5/9​

Answer 1

Step-by-step explanation:

Let the numerator be X

Denominator = X+4

Fraction =

$\frac{x}{x + 4}$

Subtracting 1 from each numerator and denominator, we get

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

Now according to the question,

$\frac{x - 1}{x + 3} = \frac{1}{2} \\ = > 2x - 2 = x + 3 \\ = > 2x - x = 3 + 2 \\ = > x = 5$

Fraction =

$\frac{x}{x + 4} = \frac{5}{5 + 4} = \frac{5}{9}$

Om Namah Shivaya

Debasish Biswal