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More ways to get Braingle...

Three Boys



 

Puzzle ID:#769
Fun:*** (2.65)
Difficulty:*** (2.31)
Category:Other
Submitted By:peterbradfor**
Corrected By:MarcM1098

 

 

 



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?


Hint

Look 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.

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