Question

The denominator ofa rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1,the number obtained is 3/2. Find the numbet

Answer 1

Answer:

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

Step-by-step explanation:

The following rational equation is deducted from statement:

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

Then, $x$ is cleared in the equation with algebraic handling:

$3\cdot (x+7) = 2\cdot (x+17)$

$3\cdot x +21 = 2\cdot x + 34$

$x = 13$

The rational number is:

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

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