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|Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny|
|A problem (with solution) sent by Prof. W. McWorter's: Byzantine Basketball is like regular basketball except that foul shots are worth a points instead of two points and field shots are worth b points instead of three points. Moreover, in Byzantine Basketball there are exactly 35 scores that never occur in a game, one of which is 58. What are a and b?|
|Levels:||High School (9-12), Early College|
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