Question

What is the sum of three consecutive even integers is -360?

Answer 1

If you are trying to find the three numbers, they are `-122`, `-120`, and `-118`.

Explanation:

They are consecutive, so the average would be `-360/3=-120`. That would give you `-120`, `-120`, and `-120`.
However, they are consecutive even integers. So subtract 2 from one of the numbers and add 2 because it will even out the average. That should get `-122`, `-120`, and `-118`.

Answer 2

-118,-120,-122

Explanation:

Considering that the numbers have to be consecutive, the three numbers would be close in value to each other. we'd be looking for numbers that are close to:

`-360/3=color(blue)(-120)`

So we need 3 consecutive numbers that are close to 120, and sum to 360. Luckily 120 can be considered an element in the 3-number set:

`-color(blue)(120)-122-124=color(red)(-366)`

`-116-118-color(blue)(120)=color(red)(-354)`

`-118-color(blue)(120)-122=color(green)(-360)`

So now we have our set:

`{-118,-120,-122}`