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Source: 2017 AMC 10B #1

February 16, 2017
AMCAMC 10AMC 10 B2017 AMC 10B

Problem Statement

Mary thought of a positive two-digit number. She multiplied it by 33 and added 11.11. Then she switched the digits of the result, obtaining a number between 7171 and 7575, inclusive. What was Mary's number?
<spanclass=latexbold>(A)</span> 11<spanclass=latexbold>(B)</span> 12<spanclass=latexbold>(C)</span> 13<spanclass=latexbold>(D)</span> 14<spanclass=latexbold>(E)</span> 15<span class='latex-bold'>(A)</span> \text{ 11} \qquad <span class='latex-bold'>(B)</span> \text{ 12} \qquad <span class='latex-bold'>(C)</span> \text{ 13} \qquad <span class='latex-bold'>(D)</span> \text{ 14} \qquad <span class='latex-bold'>(E)</span> \text{ 15}