The sum of two numbers is -8 the differences is 44 final numbers

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]