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=(-96)/(3) \\ x=-32 \end{gathered}`

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