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

`y = (13)/(21)`

Explanation:

The following rational equation is deducted from statement:

`(3)/(2) = (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 = (x)/(x+8)`

`y = (13)/(21)`