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標題:

Find a number!!!!!!!!!!

發問:

Find a positive 3-digited number such that -it has two equal digits(eg.122), -it has two equal digits when it is changed to base 8(eg.232(8)) -the sum of the digits is fourteen in both number system

最佳解答:

The question is not dificult Since the sum of the digits is fourteen in both number system For base 8, the possible combinations are the set {4,4,6}(5,5,4}{6,6,2}{7,7,0} Using excel the results are digit 3 digit 2 digit 1 base 10 4 4 6 294 4 6 4 308 6 4 4 420 5 5 4 364 5 4 5 357 4 5 5 301 6 6 2 434 6 2 6 406 2 6 6 182 7 7 0 504 7 0 7 455 0 7 7 63 So the answer is 707

 

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其他解答:

This is quite hard, haha.0D7DAC4E7B8CAAC5

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