GAUSS7 2018 Problem 25

In the triangle, each of the numbers 1,2,3,4,5,6,7,8 is placed into a different circle. The sums of the numbers on each of the three sides of the triangle are equal to the same number, S. The sum of all of the different possible values of S is

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Answer Choices
A. 85
B. 99
C. 66
D. 81
E. 67