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Problem of the Week
Problem D
The Elevator

There are six people in an elevator. The sum of all six of their ages is \(190\) and the median age is \(22\). From youngest to oldest, the names of the people in the elevator are Ashish, Brook, Calista, Dipak, Enid, and Freyja.

The elevator stops and Ashish and Enid get off. The mean (average) age of the remaining four people in the elevator is then \(30\). The elevator then stops again and Brook and Calista get off. The mean age of the remaining two people in the elevator is then \(40\).

If Ashish is \(18\) years old, and each person’s age is a different positive integer, how old is Freyja?