MathDB
A Sum, Product, and Reciprocal Sum

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June 13, 2009

Problem Statement

The sum of two numbers is 10 10; their product is 20 20. The sum of their reciprocals is: <spanclass=′latex−bold′>(A)</span> 110<spanclass=′latex−bold′>(B)</span> 12<spanclass=′latex−bold′>(C)</span> 1<spanclass=′latex−bold′>(D)</span> 2<spanclass=′latex−bold′>(E)</span> 4 <span class='latex-bold'>(A)</span>\ \frac{1}{10}\qquad <span class='latex-bold'>(B)</span>\ \frac{1}{2}\qquad <span class='latex-bold'>(C)</span>\ 1\qquad <span class='latex-bold'>(D)</span>\ 2\qquad <span class='latex-bold'>(E)</span>\ 4
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