SOLUTION: Thank you for your help. My question is: The greatest of four consecutive even integers is 14 less than twice the smallest integer. What are the integers?

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Question 244099: Thank you for your help. My question is:
The greatest of four consecutive even integers is 14 less than twice the smallest integer. What are the integers?

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
Let the consecutive even integers be:
x, x+2, x+4, x+6
x+6=2x-14
x-2x=-14-6
-x=-20
x=20 ans. for the smallest integer.
20=6=26 ans. for the largest integer.
Proof:
26=2*20-14
26=40-14
26=26