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Reversing digits and multiplying

Source: AMC 10 2011 b Problem 5

February 24, 2011
AMC

Problem Statement

In multiplying two positive integers aa and bb, Ron reversed the digits of the two-digit number aa. His errorneous product was 161161. What is the correct value of the product of aa and bb?
<spanclass=′latex−bold′>(A)</span> 116<spanclass=′latex−bold′>(B)</span> 161<spanclass=′latex−bold′>(C)</span> 204<spanclass=′latex−bold′>(D)</span> 214<spanclass=′latex−bold′>(E)</span> 224 <span class='latex-bold'>(A)</span>\ 116 \qquad <span class='latex-bold'>(B)</span>\ 161 \qquad <span class='latex-bold'>(C)</span>\ 204 \qquad <span class='latex-bold'>(D)</span>\ 214 \qquad <span class='latex-bold'>(E)</span>\ 224
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