Question 327334
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+(x+2)+(x+4)=4*x}}}. This is our equation. Combining the terms you get {{{3x+ 6 = 4x}}}. Subtract 3x from both sides: {{{6 = x}}}. Yay! Now we know the first number is 6. The second number is {{{x+2}}, so we get 8. The third number is {{{x+4}}}, so we get 10. The three integers are then 6, 8, and 10! ^0^ I hope I've helped!
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