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Minneapolis, more like Trolliapolis!

Source: 2021 AMC 10B #4

November 17, 2021
AMC 10 BAMCAMC 10AMC 12AMC 12 B

Problem Statement

At noon on a certain day, Minneapolis is NN degrees warmer than St. Louis. At 4:004{:}00 the temperature in Minneapolis has fallen by 55 degrees while the temperature in St. Louis has risen by 33 degrees, at which time the temperatures in the two cities differ by 22 degrees. What is the product of all possible values of N?N? (<spanclass=latexbold>A</span>)10(<spanclass=latexbold>B</span>)30(<spanclass=latexbold>C</span>)60(<spanclass=latexbold>D</span>)100(<spanclass=latexbold>E</span>)120(<span class='latex-bold'>A</span>)\: 10\qquad(<span class='latex-bold'>B</span>) \: 30\qquad(<span class='latex-bold'>C</span>) \: 60\qquad(<span class='latex-bold'>D</span>) \: 100\qquad(<span class='latex-bold'>E</span>) \: 120