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Printjmc
number theory junior
Problem
Find the value of the base such that the following addition problem is correct: \begin{array}{@{}c@{\;}c@{}c@{}c@{}c@{}c} & & 6 & 6 & 5 & 1_b \\ + & & & 1 & 1 & 5_b \\ \cline{1-6} & 1 & 0 & 0 & 6 & 6_b\\ \end{array}
Solution
In the two rightmost columns of addition, there is no carrying, but in the third, there is, so and
Final answer
7