
Problem 1.
Weigh 2 against 1 and 1. If they balance, then 3 is the fake
(diagram A1). If they don’t balance and 2 is heavier then 2 is the
fake (diagram B1). If they don’t balance and 2 is light (diagram C1),
the one of the 1buckazoid coins is fake. In this case, weigh the
1buckazoid coins against each other. The heavier one is fake
(diagrams C2 and C3). 


Problem 2.
Step 1. Compare the two 1buckazoid coins. They either balance
(diagram A1) or they don’t (diagram B1). We treat each possibility
differently. If they balance, go to step 2, if they don’t balance, go
to step 3.
Step 2. We know that both 1 buckazoid coins are real, so weigh the
2buckazoid coin against the two 1buckazoid coins. If they don’t
balance (diagram A2), then the 2buckazoid coin is fake. If they
balance (diagram A3), the 3bukazoid coin is fake, and we are
finished.
Step 3. One of the 1buckazoid coins is fake, and both the 2 and
3buckazoid coins are real. Put the 3buckazoid coin in one pan, and
one of the 1buckazoid coins and the 2buckazoid coin in the other,
and this will tell which of the 1 buckazoid coins is fake  diagrams
B2 and B3 respectively. 
