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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":
. This is our equation. Combining the terms you get
. Subtract 3x from both sides:
. Yay! Now we know the first number is 6. The second number is
, so we get 10. The three integers are then 6, 8, and 10! ^0^ I hope I've helped!
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