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'How Old Are the Children?' printed from http://nrich.maths.org/

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A student in a maths class was trying to get some information from her teacher.


Sally : "How many chidren have you got, Mrs Smith?"
Mrs Smith: "Three"
Sally: "How old are they?"
Mrs Smith: "If you multiply their ages together, it comes to 72"
Sally: "That doesn't give us enough information, Mrs Smith"
Mrs Smith: "If you add the ages you get the number of this room"
Sally: "That still doesn't give us enough information, Mrs Smith"
Mrs Smith: "The youngest is called Amanda"
Sally: "Thank you. Now we know how old they are !"

Well, how old are they?