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"?"..."!" (Posted on 2011-02-11) Difficulty: 2 of 5

If the sum of 19968 and 22235 is expressed as 0063, and the product of 20108 and 19977 as 0362, then how would the difference between 20845 and 20116 be rendered?

See The Solution Submitted by broll    
Rating: 3.0000 (1 votes)

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re: Observation only | Comment 3 of 21 |
(In reply to Observation only by brianjn)

Seeking a higher base seems to offer no joy as expressed by my spreadsheet layout which looks very similar to this:

         Exponent           3              2            1             0
          Digits               0              0            6             3       [42203]
Base    BB               0 x BB  +  0 x BB + 6 x BB +  3 x BB  = Sum

The base can be quickly modified from two cells where one is a base and another is an exponent, eg  = base^exp; that way one can quickly cycle through powers of 2 ... n creating different values for the intended base BB.   Using a small range of primes for "base" this appears not to be a solution strategy.

  Posted by brianjn on 2011-02-12 20:49:43

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