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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    
Rating: 5.0000 (1 votes)

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Solution solution | Comment 2 of 4 |
1314  =  29   = 11 + 33 + 11
3134  =  55   = 33 + 11 + 33
51325 = 3153  = 55 + 11 + 33
61591 = 49782 = 66 + 11 + 55

The values of b are 4, 25, and 91.

  Posted by Dej Mar on 2009-04-12 21:41:33
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