document.write( "Question 391711: I am thinking of a five-digit number where the fifth digit is one-half the fourth digit and one-fourth the third digit. The third digit is one-half the first digit and twice the fourth digit. The second digit is three times the fourth digit and five more than the fifth digit. What is the five-digit number?
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Algebra.Com's Answer #277901 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Look for the most restrictive statement:\r\n" ); document.write( " \n" ); document.write( ">>...the fifth digit is...one-fourth the third digit...<< \n" ); document.write( " \r\n" ); document.write( "There are only two possibilities for that statement:\r\n" ); document.write( "\r\n" ); document.write( "A. the fifth digit is 1 and the third digit is 4 \r\n" ); document.write( "\r\n" ); document.write( "or\r\n" ); document.write( "\r\n" ); document.write( "B. the fifth digit is 2 and the third digit is 8 \r\n" ); document.write( "\r\n" ); document.write( "However\r\n" ); document.write( " \n" ); document.write( ">>...The third digit is one-half the first digit...<< \n" ); document.write( " \r\n" ); document.write( "Therefore 8 is ruled out as the third digit since 16 is not a digit. \r\n" ); document.write( "So B is ruled out and we have\r\n" ); document.write( "\r\n" ); document.write( "8_4_1\r\n" ); document.write( " \n" ); document.write( ">>...The third digit is...twice the fourth digit. \n" ); document.write( " \r\n" ); document.write( "So we have\r\n" ); document.write( "\r\n" ); document.write( "8_421\r\n" ); document.write( " \n" ); document.write( ">>...The second digit is three times the fourth digit...<< \n" ); document.write( " \r\n" ); document.write( "So we have\r\n" ); document.write( "\r\n" ); document.write( "86421\r\n" ); document.write( "\r\n" ); document.write( "Note: We didn't need to know this piece of information:\r\n" ); document.write( " \n" ); document.write( ">>...The second digit is...five more than the fifth digit...<< \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |