Two perfect logicians, Sam and Peter, are told that integers x and y have been chosen such that 1 < x < y and x+y < 100. Sam is given the value x+y and Peter is given the value xy. They then have the following conversation.
Peter: I cannot determine the two numbers.
Sam: I knew that.
Peter: Now I can determine them.
Sam: So can I.
Given that the above statements are true, what are the two numbers? (Computer assistance allowed.)
Sunday, October 31, 2004
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Well done on a nice blog More l er. I was searching for information on astronomy for kids and came across your post Two logicians - not quite what I was looking for related to astronomy for kids but very interesting all the same!
Well, it's a new year - in fact it's almost the Chinese New Year. I'm still putting together astronomy lesson plans for the first and second semesters. This year the budget allows us to purchase a new telescope for the science group. That's great so we're still juggling the numbers how to get best bang for the buck! Not the 'big bang' you understand LOL. I'm coming down on the side of the Meade LX200GPS 12" Schmidt-Cassegrain. Let's wait and see.
If you do have a moment, please take a look at my new site on: Astronomy for Kids .
A happy new year to everyone!
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