Question

The sum of two consecutive integers is - 237.

Answer 1

`\huge\boxed{-119,\ -118}`

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 (
`n`) and we add 1 to it
`(n+1)`, then add those two together, we'll get the total.

Using this, we can create the equation

`(n) + (n+1) = -237`.

We can now solve for n by simplifying the equation.

`n+n+1=-237\\\\2n+1=-237\\\\2n=-238\\\\n=-119`

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. (
`n+1`). So we can substitute n in the find the second number.

`(-119 + 1)\\\\-118`

So the second number is -118.

Hope this helped!