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Generalize (Posted on 2013-05-01) Difficulty: 3 of 5
Using only 4$ and 7$ bills, you could pay any integer number of dollars, greater than 17.
Prove it.

Given two coprime numbers a and b, what is the minimal number M(a,b) such that any amount greater or equal to M(a,b) can be expressed as p*a+q*b (p & q non-negative integers)?

How much is M(37,38)?

No Solution Yet Submitted by Ady TZIDON    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Can you prove it?Paul2013-05-02 15:13:03
QuestionCan you prove it?Jer2013-05-02 09:22:50
re(2): part 1 solution, plus examples of M(x,y)Steve Herman2013-05-01 19:59:16
Solutionre: part 1 solution, plus examples of M(x,y)Charlie2013-05-01 18:12:47
Some Thoughtspart 1 solution, plus examples of M(x,y)Charlie2013-05-01 18:00:54
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