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Partial Means

Stage: 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

The mean of a sequence of $64$ numbers is $64$.
The mean of the first $36$ numbers is $36$.

What is the mean of the last $28$ numbers?


 

This problem is taken from the UKMT Mathematical Challenges.
You can find more short problems, arranged by curriculum topic, in our short problems collection.