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English, French, and German (Posted on 2010-09-20) Difficulty: 2 of 5
Assume that SQUARE, CARRE, and QUADRAT are alphametic squares, that is, that their component letters (accents being ignored) can be replaced by a mutually consistent, non-duplicating set of base-10 digits, with no leading zeroes. Prove that there is in fact no set of numbers by which these letters can be so replaced.

Alternatively, provide a solution to the alphametic.

See The Solution Submitted by broll    
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  Subject Author Date
exhaustive searched bottemiller2010-09-20 17:39:04
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