document.write( "Question 107452: ``Two Russian mathematicians meet on a plane.\r
\n" );
document.write( "\n" );
document.write( "�If I remember correctly, you have three sons,� says Ivan. �What are their ages today?�\r
\n" );
document.write( "\n" );
document.write( "�The product of their ages is thirty-six,� says Igor, �and the sum of their ages is exactly today�s date.�\r
\n" );
document.write( "\n" );
document.write( "�I�m sorry, Igor,� Ivan says after a minute, �but that doesn�t tell me the ages of your boys.�\r
\n" );
document.write( "\n" );
document.write( "�Oh, I forgot to tell you, my youngest son has red hair.�\r
\n" );
document.write( "\n" );
document.write( "�Ah, now it�s clear,� Ivan says. �I now know exactly how old your three sons are.�\r
\n" );
document.write( "\n" );
document.write( "How did Ivan figure out the ages?\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #813430 by the_answer_man(1)![]() ![]() ![]() You can put this solution on YOUR website! There are eight sets of three numbers whose product is 36. Their sums are as \n" ); document.write( "follows: \n" ); document.write( "1 + 1 + 36 = 38 \n" ); document.write( "1 + 2 + 18 = 21 \n" ); document.write( "1 + 3 + 12 = 16 \n" ); document.write( "1 + 4 + 9 = 14 \n" ); document.write( "1 + 6 + 6 = 13 \n" ); document.write( "2 + 2 + 9 = 13 \n" ); document.write( "2 + 3 + 6 = 11 \n" ); document.write( "4 + 3 + 3 = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can immediately rule out (1 + 1 + 36) because it couldn't be a date. \n" ); document.write( "1 + 2 + 18 = 21 \n" ); document.write( "1 + 3 + 12 = 16 \n" ); document.write( "1 + 4 + 9 = 14 \n" ); document.write( "1 + 6 + 6 = 13 \n" ); document.write( "2 + 2 + 9 = 13 \n" ); document.write( "2 + 3 + 6 = 11 \n" ); document.write( "4 + 3 + 3 = 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Knowing that the sum is today's date wasn't enough to figure out which \n" ); document.write( "possibility it was, so that must mean that day's date has multiple options. \n" ); document.write( "That leaves us with: \n" ); document.write( "1 + 6 + 6 = 13 \n" ); document.write( "2 + 2 + 9 = 13\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We know that he has a youngest son, so this means the answer is 1, 6, 6. \n" ); document.write( " |