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Amanda and her cousins

Source: Problem #5 2016 AMC 10B

February 21, 2016
AMC10AMCAMC 10AMC 10 B

Problem Statement

The mean age of Amanda's 44 cousins is 88, and their median age is 55. What is the sum of the ages of Amanda's youngest and oldest cousins?
<spanclass=′latex−bold′>(A)</span> 13<spanclass=′latex−bold′>(B)</span> 16<spanclass=′latex−bold′>(C)</span> 19<spanclass=′latex−bold′>(D)</span> 22<spanclass=′latex−bold′>(E)</span> 25<span class='latex-bold'>(A)</span>\ 13\qquad<span class='latex-bold'>(B)</span>\ 16\qquad<span class='latex-bold'>(C)</span>\ 19\qquad<span class='latex-bold'>(D)</span>\ 22\qquad<span class='latex-bold'>(E)</span>\ 25
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