All Means Possible ? 

The Problem:

 You have two rods made of pure gold. Doesn’t everyone?

You want to cut one of the rods into two pieces, so that one of the resulting three pieces is exactly the average of the other two pieces.

 Is this always possible?


You might like to try out some strategies on the following rods:

A         70cm and 30cm

B         50cm and 40cm

C         80cm and 40cm


Is there ever more than one way to solve the problem?

What initial lengths of rod make the division into three pieces most equal?


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Last modified: June 18, 2007