Three consecutive integers have a sum of 255 find the integers

Step-by-step explanation:

Givens

Let the smallest integer = x - 1    (You'll see why in a moment).

Let the middle integer = x

Let the largest ingeger = x + 1

Equation

x - 1 + x + x + 1 = 255

Solution

Combine like terms on the left.

3x - 1 + 1 = 255

3x = 255                      Divide by 3

3x/3 = 255/3

x = 85

So the smallest number is  84

The middle number is        85

The largest number is        86

Total                                  255

Do you see why I made the smallest number x - 1?

It is because the -1 and the plus 1 cancel out.

Please realize the question says consecutive integers. It does not say consecutive odd or consecutive even integers.