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Printjmc
number theory intermediate
Problem
Find (in base 10), given the following addition problem \begin{array}{c@{}c@{\;}c@{}c@{}c@{}c}& & & 4 & A & B_{6}\\ &+& & & 4 & 1_{6}\\ \cline{2-6}& & & 5 & 3 & A_{6}\\ \end{array}
Solution
From the middle column, we see that , so and . Since the rightmost column tells us that , . Therefore, .
Final answer
9