Tricky ages!

Algebra Level 3

In a group of ten persons, each person is asked to write the sum of the ages of all other nine persons. If all the ten sums form the nine element set \(\{82,83,84,85,87,89,90,91,92\}\), find the individual ages of the persons, assuming them to be whole numbers (of years).

Input your answer as the sum of ages of the ten persons.

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