document.write( "Question 88954: The sum of the digits of a three -digit number is 17. The ones degit is two more than the hundreds digit. The tens digit is one more than the hundreds digit. What is the number? \n" ); document.write( "
Algebra.Com's Answer #64661 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Note: I changed your 17 in the first sentence to 18, because \r\n" ); document.write( "with 17, the digits come out with fractions, and digits cannot \r\n" ); document.write( "be fractions.\r\n" ); document.write( "\r\n" ); document.write( "The sum of the digits of a three-digit number is 18. The ones \r\n" ); document.write( "digit is two more than the hundreds digit. The tens digit is \r\n" ); document.write( "one more than the hundreds digit. What is the number?\r\n" ); document.write( "\r\n" ); document.write( "Let the leftmost digit be L (that's called the \"hundreds digit\")\r\n" ); document.write( "Let the middle digit be M (that's called the \"tens digit\") \r\n" ); document.write( "Let the rightmost digit be R (that's called the \"ones\" digit)\r\n" ); document.write( "\r\n" ); document.write( ">>...The sum of the digits of a three -digit number is 18...<<\r\n" ); document.write( "\r\n" ); document.write( "That says:\r\n" ); document.write( "\r\n" ); document.write( "L + M + R = 18 \r\n" ); document.write( "\r\n" ); document.write( ">>...The ones digit is two more than the hundreds digit...<<\r\n" ); document.write( "\r\n" ); document.write( "That says:\r\n" ); document.write( "\r\n" ); document.write( "R = L + 2\r\n" ); document.write( "\r\n" ); document.write( ">>...The tens digit is one more than the hundreds digit.,,<<\r\n" ); document.write( "\r\n" ); document.write( "That says:\r\n" ); document.write( "\r\n" ); document.write( "M = L + 1\r\n" ); document.write( "\r\n" ); document.write( "So you have this syetem of equations:\r\n" ); document.write( "\r\n" ); document.write( "L + M + R = 18\r\n" ); document.write( "R = L + 2\r\n" ); document.write( "M = L + 1\r\n" ); document.write( "\r\n" ); document.write( "You might write the last two this way:\r\n" ); document.write( "\r\n" ); document.write( " L + M + R = 18\r\n" ); document.write( "-L + R = 2\r\n" ); document.write( "-L + M = 1\r\n" ); document.write( "\r\n" ); document.write( "If you can't solve that system then post again.\r\n" ); document.write( "\r\n" ); document.write( "Answer: L = 5, M = 6, R = 7 so the number is 567.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |