Question

Find three consecutive even integers if their sum, decreased by the third, equals -22.

Answer 1

-12,-10,-8

Three consecutive even integers:
x, x + 2, x + 4

x + x + 2 + x + 4 - (x + 4) = -22
2x + 2 = -22
2x = -24
x = -12

X = -12
X + 2 = -10
X + 4 = -8

Answer 2

As per linear equation, the required three consecutive even integers those have a sum of - 22 are -  8, -10, - 12.

What is a linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line."

Let, three consecutive even integers are x, x+2, and x+4.

Therefore, sum of these three consecutive even integers is

= [x + (x + 2) + (x + 4)]

Given, the sum of the three consecutive even integers decreased by the third is  - 22.

Now, [x + (x + 2) + (x + 4)] - (x + 4) = - 22

⇒ x + (x + 2) = - 22

⇒ 2x + 2 = - 22

⇒ 2x = -24

⇒ x = - 12

Now, x + 2 = - 12 + 2 = - 10

Similarly, x + 4 = - 12 + 4 = - 8

Therefore, required three consecutive even integers with a sum of - 22 are - 8, - 10, - 12.

Learn more about a linear equation here: https://brainly.com/question/11897796

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