SOLUTION: The sum of three consecutive even integers equals four times the smallest integer. What are the intgers. I know the answer just not the process.

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Question 327334: The sum of three consecutive even integers equals four times the smallest integer. What are the intgers. I know the answer just not the process.
Answer by jvan(28) About Me  (Show Source):
You can put this solution on YOUR website!
Hi! ^0^
When the even integers are consecutive, this means that they follow each other in sequence, like 2, 4, and 6 or 10, 12, and 14. We can call the first number x, the second number x+2, and the third number x+4. This means that the second numbers is 2 more than the first one, while the third number is 4 more than the first one =).
Now we can rewrite the problem as an equation, "The sum of three consecutive even integers equals four times the smallest integer": x%2B%28x%2B2%29%2B%28x%2B4%29=4%2Ax. This is our equation. Combining the terms you get 3x%2B+6+=+4x. Subtract 3x from both sides: 6+=+x. Yay! Now we know the first number is 6. The second number is x%2B2%7D%7D%2C+so+we+get+8.+The+third+number+is+%7B%7B%7Bx%2B4, so we get 10. The three integers are then 6, 8, and 10! ^0^ I hope I've helped!
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