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Ken's Puzzle of the Week

Rods in a Mobile

The diagram is not drawn to scale. Every horizontal length is an
integer. If all three horizontal rods are the same length, what is
that length when:

- The weights from left to right are 1,2,3,4,5?
- The weights from left to right are 5,4,3,2,1?

What configuration of the weights 1,2,3,4,5 leads to the longest/shortest
rod-length?Extension: What is the lightest configuration of unique weights
for a rod length of 3? 4? 5?

Source: Original.

Solution

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