MathDB
Find the Sum of Two Numbers

Source: 2012 AMC10A Problem #6

February 8, 2012
AMC

Problem Statement

The product of two positive numbers is 99. The reciprocal of one of these numbers is 44 times the reciprocal of the other number. What is the sum of the two numbers?
<spanclass=latexbold>(A)</span> 103<spanclass=latexbold>(B)</span> 203<spanclass=latexbold>(C)</span> 7<spanclass=latexbold>(D)</span> 152<spanclass=latexbold>(E)</span> 8 <span class='latex-bold'>(A)</span>\ \dfrac{10}{3} \qquad<span class='latex-bold'>(B)</span>\ \dfrac{20}{3} \qquad<span class='latex-bold'>(C)</span>\ 7 \qquad<span class='latex-bold'>(D)</span>\ \dfrac{15}{2} \qquad<span class='latex-bold'>(E)</span>\ 8