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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?
Any Means Possible
Age 11 to 14
ShortChallenge Level 
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?
You can find more short problems, arranged by curriculum topic, in our short problems collection.
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