document.write( "Question 231541: a two-digit number has a ten's digit that is two less the unit's digit. The number formed by reversing the digits exceeds the orginal number by three times the unit's digit. What is the number. \n" ); document.write( "
Algebra.Com's Answer #171327 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let 10x + y = the two digit number \n" ); document.write( ": \n" ); document.write( "\"has a ten's digit that is two less the unit's digit.\" \n" ); document.write( "x = y - 2 \n" ); document.write( ": \n" ); document.write( "\"The number formed by reversing the digits exceeds the original number by three times the unit's digit.\" \n" ); document.write( "10y + x = (10x + y) + 3y \n" ); document.write( "10y + x = 10x = 4y \n" ); document.write( "10y - 4y = 10x - x \n" ); document.write( "6y = 9x \n" ); document.write( ": \n" ); document.write( " What is the number. \n" ); document.write( "Replace x with (y-2) in the above equation \n" ); document.write( "6y = 9(y-2) \n" ); document.write( "6y = 9y - 18 \n" ); document.write( "+18 = 9y - 6y \n" ); document.write( "18 = 3y \n" ); document.write( "y = \n" ); document.write( "y = 6 \n" ); document.write( "then \n" ); document.write( "x = 6 - 2 \n" ); document.write( "x = 4 \n" ); document.write( ": \n" ); document.write( "46 = the two digit number \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement:a two-dig \n" ); document.write( "\" number formed by reversing the digits exceeds the original number by three times the unit's digit.\" \n" ); document.write( "64 = 46 + 3(6) \n" ); document.write( "64 = 46 + 18 \n" ); document.write( " |