Symmetric System's Cyclic Sum
Source:
February 11, 2008
Problem Statement
If a\plus{}1\equal{}b\plus{}2\equal{}c\plus{}3\equal{}d\plus{}4\equal{}a\plus{}b\plus{}c\plus{}d\plus{}5, then a\plus{}b\plus{}c\plus{}d is
\text{(A)}\ \minus{}5 \qquad
\text{(B)}\ \minus{}10/3 \qquad
\text{(C)}\ \minus{}7/3 \qquad
\text{(D)}\ 5/3 \qquad
\text{(E)}\ 5