## Three Boys
Two mathematicians, who are old friends, meet in the street.
Alan: Hi, Bill. I hear you just adopted three boys. How old are they? Bill: If you multiply their ages together you get 36. Alan: I can't work it out from that. Bill: Well, if you add their ages together, you get the number of the house you used to live in when you lived in Salisbury. Alan: Hmm, I still can't work it out. Bill: Well, the eldest boy plays the harpsichord. Alan: Ah! Now I know. How did Alan work out the ages of the three boys, and what are their ages? ## HintLook at all the combinations of ages that give 36 when multiplied together - there's not as many as you might think.Even though WE don't know the number of Bill's old house, presumably he and Alan do. Hide ## What Next?
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