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Powering up the digits (Posted on 2009-04-12) Difficulty: 2 of 5
Each of x1, x2 and x3 corresponds to a nonzero digit, whether same or different, in positive integer base b.

Determine all possible value(s) of b ≤ 100 such that this equation has at least one valid solution:

x1x2x3 = x1x1 + x2x2 + x3x3

Note: x1x2x3 corresponds to concatenation of the three digits.

See The Solution Submitted by K Sengupta    
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  Subject Author Date
more solutionsDaniel2009-04-13 14:54:01
Solutionprogram solutionCharlie2009-04-13 02:55:02
SolutionsolutionDej Mar2009-04-12 21:41:33
computer solution (spoiler)Daniel2009-04-12 17:06:14
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