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The Average Age

Age 11 to 14 Short
Challenge Level

The sum of the ages of 5 teachers is 190.

The mean age of the teachers is 10 years greater than the median age. The modal age is 5 years less than the median age. One of the teachers is 56 years old.

How old are the other teachers?

This problem is taken from the World Mathematics Championships
You can find more short problems, arranged by curriculum topic, in our short problems collection.