Question

The sum of three consecutive even integers is 126. Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.
Which equation can be used to find the first integer?

2x + 6 = 126

3x = 2x + 6

3x + 6 = 126

3x + 126 = 2x + 6

Answer 1

Answer: $3x+6=126$

Step-by-step explanation:

Given : The sum of three consecutive even integers is 126.

Let x represent the first integer, x + 2 represent the second integer, and x + 4 represent the third integer.

Then, the sum of all three consecutive even integers will be :-

$x+x+2+x+4=126$

Combine like terms, we get

$3x+6=126$

Hence, the  equation can be used to find the first integer : $3x+6=126$

Answer 2

We have that (x) + (x+2) + (x+4) = 126 so 3x + 6 = 126 can be used to find the first integer.

3x + 6 = 126
3x = 120
x = 40

The numbers are 40, 42, 44