Sender: Norm Subject: Three daughters question Date: Tue, 16 Feb 1999 17:49:46 -0600 I recently received a beat up copy of the three daughters question. I have only some of the question. It ends after the statement "the oldest one looks....... It does not finish. Is there any chance that someone can finish it off for me? Was the answer included?
Thank for any help you can give. Hi Norm Two women meet after many years and have the following conversation.
What are the ages of the daughters? Try it! AFTER you have tried you can look at a solution.
To return to the previous page use your browser's back button. ## SolutionFirst list the possible ages for the three daughters. Since the product of the ages is 36 = 2^{2}3^{2} list all triples of positive integers whose product is 36.
The sum of the ages is the post office box number which both women know and yet the post office box number does not completely determine the ages. Thus it must be that there are at least two options that have the post office box numerr as their sum. Looking at the table the post office number must be 13 and the ages are either 1, 6 and 6 or 2, 2 and 9. The final statement implies that there is a unique eldest daughter so the ages must be 2, 2 and 9.
Cheers
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