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.

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) (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 DISABLED_event_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!
****---->Please visit my website at http://myonlinetutor.webs.com and become a member to get help from me directly \(^o^)/!! Thanks!
RELATED QUESTIONS
The sum of three consecutive odd integers equals one less than for times the smallest... (answered by Fombitz,mananth)

For three Consecutive integers, the sum of the smallest and largest integers, added to... (answered by Alan3354)

Find three consecutive even integers whose sum is ten less than four times the smallest... (answered by hard,ptaylor)

three consecutive even integers as we know 5 times the sum of the larger 2 consecutive... (answered by ikleyn)

What are three even consecutive integers when the sum of the first and four times the... (answered by bucky)

What are 4 consecutive positive integers whose sum equals 5 times the smallest... (answered by oberobic)

The sum of three consecutive odd integers is 17 less than four times the smallest... (answered by ankor@dixie-net.com)

The sum of three consecutive odd integers is 17 less than four times the smallest... (answered by CubeyThePenguin)

the sum of four consecutive even integers is 2 more than five times the first integer.... (answered by neatmath)