Question

The quotient of two numbers is -1 their difference is 8 what are the numbers

Answer 1

Let the two numbers be represented with x and y.

Quotient of two numbers = -1:

`(x)/(y)=-1\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}.(1)`

Difference of two numbers = 8:

`x\text{ - y = 8}\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(2)`

From the first equation, make x the the subject.

Thus, we have:

x = -y

Substitute -y for x in equation 2:

-y - y = 8

-2y = 8

Divide both sides by -2:

`\begin{gathered} (-2y)/(-2)=(8)/(-2) \\ \\ y\text{ = -4} \end{gathered}`

Now, substitute -4 for y in equation 2:

x - y = 8

x - (-4) = 8

x + 4 = 8

Subtract 4 from both sides:

x + 4 - 4 = 8 - 4

x = 4

Therefore,

x = 4 and y = -4

Thus, the numbers are 4 and -4

ANSWER:

4 and -4