document.write( "Question 840225: A curious student asks his math teacher: \"I heard you have three daughters. How old are they?\"
\n" ); document.write( "The math teacher says: \"Well, the product of my daughters' ages is 72, and the sum of their ages is the number of the room we are in.\"
\n" ); document.write( "The student writes a few things down and then says: \"I don't have enough information.\"
\n" ); document.write( "The math teacher exclaims: \"Ah, of course! I forgot to tell you that my oldest daughter has green eyes.\"
\n" ); document.write( "The student says: \"Oh, now it's clear. Their ages are...\"
\n" ); document.write( "What are their ages? \n" ); document.write( "

Algebra.Com's Answer #506072 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
A curious student asks his math teacher: \"I heard you have three daughters. How old are they?\"
\n" ); document.write( "The math teacher says: \"Well, the product of my daughters' ages is 72, and the sum of their ages is the number of the room we are in.\"
\n" ); document.write( "The student writes a few things down and then says: \"I don't have enough information.\"
\n" ); document.write( "The math teacher exclaims: \"Ah, of course! I forgot to tell you that my oldest daughter has green eyes.\"
\n" ); document.write( "The student says: \"Oh, now it's clear. Their ages are...\"
\n" ); document.write( "What are their ages?
\n" ); document.write( "

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document.write( "There are 7 solutions.\r\n" );
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document.write( "The possible answers are:\r\n" );
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document.write( "The oldest daughter is 72 and the others are 1 and 1 and the room number is 74.\r\n" );
document.write( "The oldest daughter is 36 and the others are 1 and 2 and the room number is 39.\r\n" );
document.write( "The oldest daughter is 24 and the others are 1 and 3 and the room number is 28.\r\n" );
document.write( "The oldest daughter is 18 and the others are 1 and 4 and the room number is 23.\r\n" );
document.write( "The oldest daughter is 12 and the others are 2 and 3 and the room number is 17.\r\n" );
document.write( "The oldest daughter is 12 and the others are 1 and 6 and the room number is 19.\r\n" );
document.write( "The oldest daughter is 9 and the others are 1 and 8 and the room number is 18.\r\n" );
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document.write( "The first few solutions are laughable and unlikely, but all are possible. \r\n" );
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document.write( "Edwin

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