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