# Cut to the Average Puzzle - Solution

### The Puzzle:

You have two straight lengths of wood.

How can you cut one of them so that one of the three pieces is the average length of the other two.

How can you cut one of them so that one of the three pieces is the average length of the other two.

### Our Solution:

Put the two pieces end to end in a straight line:

Then the average length of the three cut pieces has to be one third of this total length.

So we simply cut one third of the way along the longer piece

Then the average length of the three cut pieces has to be one third of this total length.

So we simply cut one third of the way along the longer piece

Puzzle Author: Stephen Froggatt

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