SOLUTION: The sum of two consecutive even integers is seven more than half of the sum of the next two consecutive even integers what is the smallest of these integers

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Question 1006962: The sum of two consecutive even integers is seven more than half of the sum of the next two consecutive even integers
what is the smallest of these integers
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive even integers: x, (x+2)

x + (x+2) = 1/2 * ((x+4) + (x+6)) + 7
2x + 2 = 1/2 * (2x + 10) + 7
2x + 2 = x + 5 + 7
x = 10

smallest integer = x = 10