# Question #bc525

##### 3 Answers

Set up an equation using n, n+2, n+4

#### Explanation:

let n = the first even integer. then

let n+2= the second even integer then

let n+4 = the third even integer so

n + n +

#### Explanation:

We can model this with an equation. If we define our first integer as

First integer

Combining like terms, we get:

Subtract 3 from both sides to get:

Dividing by 3, we get:

Notice, we just arrived at

Integer 2

Integer 3

Therefore, our 3 consecutive even integers are 22, 24 and 26.

Answer:

#### Explanation:

Find 3 consecutive even integers whose sum is 72

We can begin by setting up an equation that models the problem

Let

Since we want to have 3 consecutive even integers, we can write our middle integral value as

Now that we have our 3 consecutive integers, namely

Combining like-terms, we have:

Now we can solve for

But wait! Our consecutive even integers are of the form

Therefore, our consecutive even integers are

*Sidenote: we choose the middle term first since we know that the added constant to each side would cancel each other out and thus make the problem less lengthy, this applies especially well to more complex problems that involve a series of consecutive values