which equation would be used to find three consecutive even integers whose sum is 78

Let n be the smallest integer of the 3, then since all the numbers have to be even numbers, the other two numbers are of the form:
[tex]\begin{gathered} n+2, \\ n+4. \end{gathered}[/tex]Since the sum of the numbers has to be 78, we can set the following equation:
[tex]n+n+2+n+4=78.[/tex]Simplifying the above equation we get:
[tex]3n+6=78.[/tex]Answer:
[tex]3n+6=78.[/tex]