SOLUTION: The sum of three consecutive even integers is the same as twice the smallest of these integers.

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Question 13429: The sum of three consecutive even integers is the same as twice the smallest of these integers.
Answer by akmb1215(68) About Me  (Show Source):
You can put this solution on YOUR website!
You first need to name the three consecutive even integers using the name variable. I am going to call them n, n+2, and n+4 (we are doing +2 and +4 because even numbers are two apart...think about 2, 4, and 6 for example). When you add these together and set it equal to twice the smallest, you get the equation n%2Bn%2B2%2Bn%2B4+=+2n. To solve, first combine like terms to get 3n%2B6+=+2n. Move the 3n to the right side of the equal sign to get 6+=+-1n. Divide by -1 to solve for n to get n+=+-6. Your three consecutive even integers are -6, -4, and -2.