perplexus.info :: Numbers : Japanese Numbering

Japanese Numbering (Posted on 2003-09-21)

Find the number n such that the following alphanumeric equation:

   KYOTO
   KYOTO
 + KYOTO
   TOKYO

has a solution in the base-n number system.

(Each letter in the equation denotes a digit in this system, and different letters denote different digits)

See The Solution Submitted by DJ

Rating: 4.0769 (13 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

Great Puzzle

Comment 22 of 22 |

(In reply to 'The Interested Reader' by Charley)

I have since independently verified that the value of n ( the base is 9); and there are precisely four solutions

KYOTO = 13040, 16050, 23070, 26080.

Yes, truly a great puzzle.

Posted by K Sengupta on 2007-03-09 04:57:43

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