Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!linus!genrad!decvax!harpo!floyd!vax135!cornell!uw-beaver!tektronix!ucbcad!ucbvax!cbosgd!res 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?