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Sum of Eleven Consecutive Integers

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April 2, 2013
MATHCOUNTSanalytic geometry

Problem Statement

The sum of eleven consecutive integers is 20022002. What is the smallest of these integers?
<spanclass=′latex−bold′>(A)</span>175<spanclass=′latex−bold′>(B)</span>177<spanclass=′latex−bold′>(C)</span>179<spanclass=′latex−bold′>(D)</span>180<spanclass=′latex−bold′>(E)</span>181<span class='latex-bold'>(A) </span>175\qquad<span class='latex-bold'>(B) </span>177\qquad<span class='latex-bold'>(C) </span>179\qquad<span class='latex-bold'>(D) </span>180\qquad<span class='latex-bold'>(E) </span>181
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