If x represents the first, or smallest, of three consecutive even integers express the sum of the three integers in terms of X

Question

 If X represents the first or smallest of three consecutive even integers express the sum of the three integers in terms of X 

Answer 1

Consecutive even integers, by their nature, are necessarily spaced two apart.  (For example, the consecutive even integers 10, 12, 14, etc).  If x is the first even integer, then the next would have to be x + 2, and the last x + 4.

 

The sum of the three is then the sum of these numbers:  x + (x + 2) + (x + 4), or 3x + 6.