Respuesta :

As per given by the question,

There are given that the sum of two number is -8 and their dufferences is 44.

Now,

Let the two number is, x and y

Then,

The sum of two number is -8.

So,

[tex]x+y=-8\ldots..(1)[/tex]

And,

Their differences is 44.

So,

[tex]x-y=44\ldots(2)[/tex]

Now,

For find the value of two number, x and y

From equation (2)

[tex]\begin{gathered} x-y=44 \\ x=44+y\ldots(3) \end{gathered}[/tex]

Put the above value of x into the equation (1).

So,

[tex]\begin{gathered} x+y=-8 \\ 44+y=-8 \\ 44+y-44=-8-44 \\ y=-52 \end{gathered}[/tex]

Now,

Put the value of y into the equation (2)

So,

[tex]\begin{gathered} x-y=44 \\ x-(-52)=44 \\ x+52=44 \\ x=44-52 \\ x=-8 \end{gathered}[/tex]

Hence, the number is shown below:

[tex]x=-8\text{ and y=-52}[/tex]

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