Question

The sum of three consecutive even integers is 36. 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?

3x = 2x + 6

2x + 6 = 36

3x + 6 = 36

3x + 36 = 2x + 6

Answer 1

To start this, try to place it all together.

(x)+(x+2)+(x+4)=36

Then you start to combine so that it looks like this:

3x+6=36

I believe that is one of the choices. Do you need more explanation?

Answer 2

C.
`3x+6=36`

Explanation:

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

The sum of these integers would be
`x+x+2+x+4`.

We have been given that the sum of three consecutive even integers is 36. We can represent this information in an equation as:

`x+x+2+x+4=36`

Combine like terms:

`3x+6=36`

Therefore, the equation
`3x+6=36` can be used find the first integer.