Three consecutives even integers can be represented as x, x+2 and x+4. Since their sum must be equal to -90, we can write
[tex]x+x+2+x+4=-90[/tex]By combining like terms, we have
[tex]3x+6=-90[/tex]Then, by substracting 6 from both side, we get
[tex]3x=-96[/tex]Then, x is given by
[tex]\begin{gathered} x=\frac{-96}{3} \\ x=-32 \end{gathered}[/tex]Therefore, the numbers are -32, -30, -28
