Question

The sum of three consecutive even integers is -90. Find the numbers.

Answer 1

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

$x+x+2+x+4=-90$

By combining like terms, we have

$3x+6=-90$

Then, by substracting 6 from both side, we get

$3x=-96$

Then, x is given by

$\begin{gathered} x=\frac{-96}{3} \\ x=-32 \end{gathered}$

Therefore, the numbers are -32, -30, -28