Question

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.

Answer 1

x, x+1 , x+2
x+x+1+x+2 = -78
3x+3=-78
3x=-78-3= -81
x=-81÷3 = -9

the integers are -9, -8, -7

Answer 2

3 even integers

divide -78 by 3

-78 / 3 = -26

so -24 + -26 + -28 = -78

equation would be:

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

3n +6 = -78

3n = -84

n = -84 / 3 = -28

n +2 = -28 +2 = -26

n+4 = -28 +4 = -24