SOLUTION: Find three consecutive integers such that twice the second subtracted from the sum of the other three integers is sixteen.

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Question 710587: Find three consecutive integers such that twice the second subtracted from the sum of the other three integers is sixteen.
Answer by nerdybill(7384) About Me  (Show Source):
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Find three consecutive integers such that twice the second subtracted from the sum of the other three integers is sixteen.
.
Let x = first integer
then
x+1 = second
x+2 = third
.
(x + x+1 + x+2)-2(x+1) = 16
(3x+3)-(2x+2) = 16
3x+3-2x-2 = 16
x+3-2 = 16
x+1 = 16
x = 15
.
Solution: 15, 16, and 17