document.write( "Question 107280: Two Russian mathematicians meet on a plane. \r
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document.write( "“If I remember correctly, you have three sons,” says Ivan. “What are their ages today?” \r
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document.write( "“The product of their ages is thirty-six,” says Igor, “and the sum of their ages is exactly today’s date.” \r
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document.write( "“I’m sorry, Igor,” Ivan says after a minute, “but that doesn’t tell me the ages of your boys.” \r
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document.write( "“Oh, I forgot to tell you, my youngest son has red hair.” \r
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document.write( "“Ah, now it’s clear,” Ivan says. “I now know exactly how old your three sons are.” \r
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document.write( "How did Ivan figure out the ages? \r
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Algebra.Com's Answer #78126 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two Russian mathematicians meet on a plane. \n" ); document.write( "“If I remember correctly, you have three sons,” says Ivan. “What are their ages today?” \n" ); document.write( "“The product of their ages is thirty-six,” says Igor, “and the sum of their ages is exactly today’s date.” \n" ); document.write( "“I’m sorry, Igor,” Ivan says after a minute, “but that doesn’t tell me the ages of your boys.” \n" ); document.write( "“Oh, I forgot to tell you, my youngest son has red hair.” \n" ); document.write( "“Ah, now it’s clear,” Ivan says. “I now know exactly how old your three sons are.” \n" ); document.write( "How did Ivan figure out the ages? \n" ); document.write( ": \n" ); document.write( "I am going guess that Ivan knew a couple things that they didn't tell us: \n" ); document.write( "1. The day of the month is the 13th \n" ); document.write( "2. Two of the 3 brothers are twins \n" ); document.write( ": \n" ); document.write( "That could make the boys ages (which add up to 13): \n" ); document.write( "6, 6, 1 \n" ); document.write( "2, 2, 9 \n" ); document.write( ": \n" ); document.write( "When he said the youngest had red hair. that made the older ones the twins and confined the answer to: \n" ); document.write( "6, 6, 1 \n" ); document.write( ": \n" ); document.write( "This is just a guess, there may be other solutions. \n" ); document.write( " |