# If the sum of four consecutive integers is -106, what are the integers?

Feb 1, 2016

$- 28 , - 27 , - 26 , - 25$

#### Explanation:

Let the smallest of the four consecutive numbers be $n$.

{: (,n,),(+,n+1,),(+,n+2,),(+,n+3,),("-----","--------",),(=,4n+6,=-106) :}

$\Rightarrow 4 n = - 112$

$\Rightarrow n = - 28$

$\Rightarrow n + 1 = - 27 , \textcolor{w h i t e}{\text{XX")n+2=-26,color(white)("XX}} n + 3 = - 25$