37th British Mathematical Olympiad 2001 Problems

Posted in Posted by Unknown on Thursday, September 9, 2010 at 1:00 AM
37th British Mathematical Olympiad 2001 Problems1.  A has a marbles and B has b < a marbles. Starting with A each gives the other enough marbles to double the number he has. After 2n such transfers A has b marbles. Find a/b in terms of n. 2.  Find all integer solutions to m2n + 1 = m2 + 2mn + 2m + n.
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