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From: res@cbosgd.UUCP
Newsgroups: net.math
Subject: math puzzle
Message-ID: <34@cbosgd.UUCP>
Date: Mon, 6-Jun-83 18:47:32 EDT
Article-I.D.: cbosgd.34
Posted: Mon Jun  6 18:47:32 1983
Date-Received: Wed, 8-Jun-83 03:14:54 EDT
Lines: 15

The following was going around the office recently:

A principal and a teacher are talking as several people walk by. The principal
mentions to the teacher: "I know the three people who just past us. The product
of their ages is 2450. Can you tell me their individual ages?" The teacher
replies: "I do not have enough information to uniquely answer the question."
The principal then says: "OK, the sum of their ages is exactly twice
your age. Now can you tell me their ages?" The teacher thinks for awhile
and replies: "I still don't have enough information to uniquely identify
their ages." Then the principal states: "I will tell you this, and this will
be conclusive: Each of the three people we are discussing is younger than
myself." The teacher says: "Now I can tell you their ages."

Can you figure out the ages of *all* the people involved, including the
principal and the teacher?