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Sums by Pairs

Source: 2012 AMC 12A Problem #6 and AMC 10A Problem #8

February 8, 2012
AMC

Problem Statement

The sums of three whole numbers taken in pairs are 1212, 1717, and 1919. What is the middle number?
<spanclass=′latex−bold′>(A)</span> 4<spanclass=′latex−bold′>(B)</span> 5<spanclass=′latex−bold′>(C)</span> 6<spanclass=′latex−bold′>(D)</span> 7<spanclass=′latex−bold′>(E)</span> 8 <span class='latex-bold'>(A)</span>\ 4\qquad<span class='latex-bold'>(B)</span>\ 5\qquad<span class='latex-bold'>(C)</span>\ 6\qquad<span class='latex-bold'>(D)</span>\ 7\qquad<span class='latex-bold'>(E)</span>\ 8
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