find three consecutive even integers with the sum of -84

Question

 I have no idea what this means and i really need help

Answer 1

Let the 3 consecutive even integers be

 

n

n + 2

n + 4.

 

Then

 

n + (n + 2) + (n + 4) = -84

 

3n + 6 = -84

 

n = (-84 - 6)/3 = -30

 

n + 2 = -30 + 2 = -28

 

n + 4 = -30 + 4 = -26