Answer:
[tex]\huge\boxed{-119,\ -118}[/tex]
Step-by-step explanation:
In order to find two consecutive numbers, we have to note that a consecutive number is one more than the previous.
Therefore, if we have a number ([tex]n[/tex]) and we add 1 to it [tex](n+1)[/tex], then add those two together, we'll get the total.
Using this, we can create the equation
[tex](n) + (n+1) = -237[/tex].
We can now solve for n by simplifying the equation.
[tex]n+n+1=-237\\\\2n+1=-237\\\\2n=-238\\\\n=-119[/tex]
Now we know the value of n, -119, which is one of our numbers. However, there is a second number that is one more than this. ([tex]n+1[/tex]). So we can substitute n in the find the second number.
[tex](-119 + 1)\\\\-118[/tex]
So the second number is -118.
Hope this helped!