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 59 in one way (Posted on 2011-08-13)
A and B are two positive integers such that:

1. The number 59 can be made by adding non-negative integral multiples of A and B in exactly one way.

2. Some numbers below 59 cannot be produced in this way at all, while some can be produced in one way and others in more than one way as sums of non-negative integral multiples of A and B.

3. All numbers above 59 can be produced in more than one way as sums of non-negative integral multiples of A and B.

What two numbers can A and B be?

 See The Solution Submitted by Charlie Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): possible solution | Comment 3 of 7 |
(In reply to re: possible solution by Charlie)

I have reverted the wording to what it was originally. The newly restored rule 2 as it now is, negates the 60 and 1 solution.
 Posted by Charlie on 2011-08-14 00:14:15

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