2021 Fall AMC 12B Problems/Problem 3
Problem
At noon on a certain day, Minneapolis is degrees warmer than St. Louis. At the temperature in Minneapolis has fallen by degrees while the temperature in St. Louis has risen by degrees, at which time the temperatures in the two cities differ by degrees. What is the product of all possible values of
Solution 1
Let the temperature of Minneapolis be , and that of St. Louis be . We have .
At , either
or
Plug in to solve the two equations respectively to get or . Hence the answer is $60 \Right arrow\boxed{(\textbf{C}) }.$ (Error compiling LaTeX. Unknown error_msg)
~Wilhelm Z
2021 Fall AMC 12B (Problems • Answer Key • Resources) | |
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Followed by Problem 4 |
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