Question

Find three consecutive even integers such that the sum of the first and third equals the sum of the second and −14.

Answer 1

The three consecutive integers are -16, -14, -12.

Step-by-step explanation:

Let the three consecutive even integers be;

x, x+2, x+4

According to given statement;

$x+(x+4)=x+2+(-14)\\x+x+4=x+2-14\\2x+4=x-12\\\\2x-x=-12-4\\x=-16$

The values are as follow;

$-16,\ -16+2,\ -16+4\\-16, -14, -12$

The three consecutive integers are -16, -14, -12.

Keywords: Consecutive, integers, linear equation.

Learn more about linear equations at:

• brainly.com/question/6564657
• brainly.com/question/6565665

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