The sum of three consecutive even integers is - 78. What are the integers? Describe how you would use the strategy of writing an equation to solve the given problem.

The three consecutive even integers are: 2n, (2n+2) and (2n+4).

we can suggest this equation for solve this problem:

2n + (2n+2) + (2n+4) = - 78

2n+2n+2n=-78-2-4

6n=-84

n=-84/6

n=-14

The three consecutive even integers are:

2n=2 (-14) = - 28

2n+2=2 (-14) + 2=-26

2n+4=2 (-14) + 4=-24

we check it out:

-28-26-24=-78

Answer: the equation will be : 2n + (2n+2) + (2n+4) = - 78 and the three consecutive even integers are - 28, - 26 and - 24.