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

Respuesta :

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

Consecutive numbers are numbers that follow each other.

The equation to calculate the first integer is: [tex]3x + 6 = 126[/tex]

The numbers are given as: x, x + 2 and x + 4

And their sum is:

[tex]Sum = 126[/tex]

So, we have:

[tex]x + x +2 + x + 4 = 126[/tex]

Collect like terms

[tex]x + x + x + 2 + 4 = 126[/tex]

[tex]3x + 6 = 126[/tex]

Hence, the equation to calculate the first integer is:

[tex]3x + 6 = 126[/tex]

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