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Can you make a hypothesis to explain these ancient numbers?

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Ishango Bone

Can you decode the mysterious markings on this ancient bone tool?

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Searching for Mean(ing)

If you have a large supply of 3kg and 8kg weights, how many of each would you need for the average (mean) of the weights to be 6kg?

Arithmagons

Age 14 to 16 Challenge Level:

How does the sum of the numbers at the edges relate to the sum of the numbers at the vertices?  

It might help to label the numbers at the vertices $A$, $B$ and $C$ and then express the edge numbers in terms of $A$, $B$ and $C$.