There is no possible solution.
Suppose the three numbers are n, n+2 and n+4 where n is odd
Then you require 3n + 6 = 116
ie 3n = 110
But 110 is not a multiple of 3, hence there is no solution to the question.
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The integers are 16, 17 and 18.
The integers are 19, 20 and 21.
Those three odd integers are 43, 45, and 47.
They are -15, -14 and -13.
-6, -7, and -8.