AMC 10 Step by Step
2015 AMC 10AProblem 18P16-20~5 minPrint

Hexadecimal (base-16) numbers are written using numeric digits 00 through 99 as well as the letters AA through FF to represent 1010 through 1515 . Among the first 10001000 positive integers, there are nn whose hexadecimal representation contains only numeric digits. What is the sum of the digits of nn ?

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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.