SOLUTION: Find four consecutive even integers such that 5 times the sum of the first and the third is 15 more than 5 times the fourth.

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Question 959038: Find four consecutive even integers such that 5 times the sum of the first and the third is 15 more than 5 times the fourth.

Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive even integers: x, (x+2), (x+4), (x+6)

4(x + (x+4)) = 5(x+6) + 15
4(2x + 4) = 5(x+6) + 16
8x + 16 = 5x + 46
3x = 30
x = 10

The integers are 10, 12, 14, and 16.