Question

the denominator of a fraction is greater than the numrator by 8 . if the numrator is increase by 17 and denominator is decreased by 1 the number obtained is 3/2. find the fraction ( only one variable )​

Answer 1

$\: \huge\bf\underline \red{\underline{Answer}}$

Let the number be x

$\therefore \: the \: denominator = x + 8$

So, the Rational Number is

$\frac{x}{x + 8}$

According to the Question

$\frac{x + 17}{x + 8 - 1} = \frac{3}{2}$

$= > \frac{x + 17}{x + 7} = \frac{3}{2}$

$= > (x + 17) \times 2 = (x + 7) \times 3$

$= > 2x + 34 = 3x + 21$

$= > 3x - 2x = 34 - 21$

$= > x = 13$

The Rational Number will be

$\frac{x}{x + 8}$

$= > \frac{13}{13 + 8}$

$= > \frac{13}{21}$