Question

Which two consecutive integers have sum `-94` ?

Answer 1

`-47.5`

Explanation:

"two consecutive integers" implies that one is greater than the other number by 1 value.

Therefore, one number will be `n` and its consecutive will be `n+1`.

"The sum ... is `-94`" means `n+(n+1)=-94`

Simplifying, we have `2n+1=-94`

`2n=-95`
`n=-95/2=-47.5`

Answer 2

There are no two such consecutive integers, but there are two consecutive even integers, namely `-48`, `-46`

Explanation:

If `n, n+1` are consecutive integers then:

`n+(n+1) = 2n+1`

which will always be an odd integer.

Perhaps the question should have specified two consecutive even integers.

If so, then denote the integers by `n` and `n+2`.

We are given:

`-94 = n+(n+2) = 2n+2`

Subtract `2` from both ends to get:

`-96 = 2n`

Divide both sides by `2` and transpose to get:

`n = -48`

So the two consecutive even integers are:

`-48`, `-46`