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Topic: daughter's ages (Read 2969 times) 

klbarrus
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Posts: 29


daughter's ages
« on: Jul 25^{th}, 2002, 5:03pm » 
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The product of Dr. D's daughter's ages is 72, or 3*3*2*2*2. Trying out various combinations, we get these possibilities: 18, 2, 2; sum 22 9, 4, 2; sum 15 12, 3, 2; sum 17 6, 6, 2; sum 14 8, 3, 3; sum 14 6, 4, 3; sum 13 Since Dr. S can't figure out the ages from their sum, it must be either 6, 6, 2 or 8, 3, 3 as they both add to 14, and the rest are unique. Dr. D said "his oldest" so this means his daughters are 8, 3, 3. Of course, Dr. D might have been talking about the oldest twin of the 6 year old pair


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Zy Baxos
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Addition to solution above: You are ignoring a large number of possible age combo's: 1,1,72  all right, not *that* possible 1,2,36  " 1,3,24 1,4,18 1,6,12 1,8,9 Fortunately, all of these combinations have unique sums, so your answer still holds Regards, Zy


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klbarrus
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Posts: 29


Re: daughter's ages
« Reply #2 on: Jul 27^{th}, 2002, 11:33pm » 
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Doh! Thanks, I skipped all the factors of 1 as you said.


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