# What 2 consecutive integers have a sum of -105?

$- 52$ and $- 53$

#### Explanation:

let $x$ be the smaller integer
let $x + 1$ be the next integer

$x + \left(x + 1\right) = - 105$

$2 x + 1 = - 105$

$2 x = - 106$

$x = - 53 \text{ }$the smaller

Let us solve the next

$x + 1 = - 53 + 1 = - 52$

God bless....I hope the explanation is useful.