AMC 10 Step by Step
2021 AMC 10BProblem 13P11-15~4 minPrint

Let nn be a positive integer and dd be a digit such that the value of the numeral 32d\underline{32d} in base nn equals 263263 , and the value of the numeral 324\underline{324} in base nn equals the value of the numeral 11d1\underline{11d1} in base six. What is n+d ?n + d ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.