Question

The sum of three consecutive even integers is −246. Find the three integers.

Answer 1

-83, -82, and -81

Explanation:

Step 1: Declare your variable

Let x represent the largest of the 3 consecutive integer

Integer 1: x

Integer 2: x + 1

Integer 3: x + 2

Step 2: Create an equation

(x) + (x + 1) + (x + 2) = -246

Step 3: Solve

x + x + 1 + x + 2 = -246

3x + 3 = -246

3x = -249

`(3x)/(3)=(-249)/(3)`

x = -83

FInd the other 2 numbers

Integer 1: -83

Integer 2: -82

Integer 3: -81

Step 4: Therefore Statement

Therefore the 3 consecutive numbers are -83, -82, and -81