Question

"The sum of two consecutive even integers is −30.

Find the numbers. (Enter your answers as a comma-separated list.)"

Answer 1

The two consecutive even integers that have a sum of -30 are -16 and -14.

Step-by-step explanation:

To find the two consecutive even integers, we can set up an equation. Let's call the first even integer x. The next even integer would be x + 2. The sum of these two numbers is -30, so we can write the equation as:

x + (x+2) = -30

Simplifying the equation, we get:

2x + 2 = -30

Subtracting 2 from both sides:

2x = -32

Divide both sides by 2:

x = -16

Hence, the consecutive even integers are -16 and -14. By setting up and solving the equation, the integers emerge as -16 and -14, representing the consecutive even numbers that fulfill the given condition of their sum equating to -30.