SOLUTION: Find the three concecutive even integers for which 3 times the largest is twice the sum of the two smallest integers. This question has me stumped, would someone help me figure it

Algebra ->  Expressions-with-variables -> SOLUTION: Find the three concecutive even integers for which 3 times the largest is twice the sum of the two smallest integers. This question has me stumped, would someone help me figure it       Log On


   



Question 40321: Find the three concecutive even integers for which 3 times the largest is twice the sum of the two smallest integers. This question has me stumped, would someone help me figure it out?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Terms:
x
x+%2B+2
x+%2B+4
Equation:
3%28x+%2B+4%29+=+2%28%28x+%2B+2%29+%2B+x%29
3x+%2B+12+=+2%282x+%2B+2%29
3x+%2B+12+=+4x+%2B+4
12+=+x+%2B+4
8+=+x
Plug:
x+%2B+2+=+8+%2B+2 = 10
x+%2B+4+=+8+%2B+4 = 12
Numbers: 8,10,12