Answer:
16 and -16
Step-by-step explanation:
Let's call x the first number and y the second number.
If they have a sum of 0, we can write that:
x + y = 0
On the other hand, if the difference is 32, we can write the equation:
x - y = 32
Now, we have the system of equations:
x + y = 0
x - y = 32
We can add both equations to get:
x + y = 0
x - y = 32
2x + 0 = 32
Then, we can solve for x:
2x = 32
2x/2 = 32/2
x = 16
Finally, we can replace x by 16 and calculate the value of y as:
x + y = 0
16 + y = 0
16 + y - 16 = 0 - 16
y = -16
Therefore, the integers are x = 16 and y = -16