SOLUTION: if the first and third of three consecutive even integers are added together, the result is 22 less then three time the second integer. what is integer

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Question 1010860: if the first and third of three consecutive even integers are added together, the result is 22 less then three time the second integer. what is integer
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The first and third consecutive even numbers can be called x and x+4. The second is just x+2. Then we have
x + x+4 = 3(x+2) - 22
2x + 4 = 3x + 6 - 22
2x + 4 = 3x - 16
Now add 16 and subtract 2x and get
x = 20
x+2 = 22
x+4 - 24