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A=50, B=20, and C=30
I'll go through this story acting like A:
A goes first and concludes that he must be either 10 or 50
A assumes that he is 10.
B sees A=10 and C=30, and passes because he thinks he must be either 20 or 40.
C goes and sees A=10 and B=20. He concludes that he must be either 10 or 30. However, if he was 10, then A=10, B=20, and C=10, thus B would have have known that he was 20. Since B passed, C would know that he was 30.
However, C did NOT know that he was 30, thus A couldn't have been 10.
A goes again, knows he cannot be 10, and thus knows that he is 50.
QED
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