The average age

Given this information about averages, find the ages of these teachers.
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative


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