Any Means Possible

Can you find a way to break one of these rods so that one of the pieces is equal to the mean of the other two?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



Imagine two gold rods. One is 70 cm long, and the other is 20 cm long.

Is it possible to break one of the gold rods into two pieces, so that the length of one of the resulting three pieces is exactly the average of the lengths of the other two pieces?