The sum of three consecutive even integers is −354 . what are the integers

Question

what is the sum of three consecutive integers that is -354

Answer 1

Consecutive EVEN integers increase/decrease by 2 because you have to skip over the odd integer between them.The same scenario applies to CONSECUTIVE ODD integers because we must skip over the even integers between them. Example: -9,-7,-5

For example 6,8,10 are consecutive even inters, so are -12,-10,-8.

Let x= the first EVEN integer

x+ 2 = second consecutive EVEN integer

x+2+2= x+4 = third consecutive EVEN integer

sum = -354

x + (x+2) + (x+4) = -354

3x + 6 = -354

-6 -6

3x = -360

x = -120, x+2= -118, x+4= -116 check: -120+-118+-116 = -354