These are old puzzles, certainly not my own (for once), but they are great thinking problems with really elegant solutions, see if you can solve them.

I have before me nine weights. Of which just one is slightly lighter. Using only scales I must find out which of these weights is this lighter one. How do I do this?

This problem is possible in just two weighs.

Slightly harder is the twelve weights problem...

I have before me twelve weights. Of which just one is slightly lighter. Using only scales I must find out which of these weights is this lighter one. How do I do this?

This problem is possible in just three weighs.

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