document.write( "Question 180016: Find the two-digit number whose tens digit is 4 less than its units digit if the orignal number is 2 more than 3 times the sum of the digits. \n" ); document.write( "
Algebra.Com's Answer #134892 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Find the two-digit number whose tens digit is 4 less than its units digit \n" ); document.write( " if the original number is 2 more than 3 times the sum of the digits. \n" ); document.write( ": \n" ); document.write( "Let x = 10s digit \n" ); document.write( "Let y - units digit \n" ); document.write( ": \n" ); document.write( "10x + y = the number \n" ); document.write( ": \n" ); document.write( "the two-digit number whose tens digit is 4 less than its units digit\" \n" ); document.write( "x = y - 4 \n" ); document.write( ": \n" ); document.write( "\"the original number is 2 more than 3 times the sum of the digits.\" \n" ); document.write( "10x + y = 3(x+y) + 2 \n" ); document.write( "10x + y = 3x + 3y + 2 \n" ); document.write( "10x - 3x = 3y - y + 2 \n" ); document.write( "7x = 2y + 2 \n" ); document.write( "Replace x with (y-4), find y \n" ); document.write( "7(y-4) = 2y + 2 \n" ); document.write( "7y - 28 = 2y + 2 \n" ); document.write( "7y - 2y = 2 + 28 \n" ); document.write( "5y = 30 \n" ); document.write( "y = 6 \n" ); document.write( "then \n" ); document.write( "x = 6 - 4 \n" ); document.write( "x = 2 \n" ); document.write( ": \n" ); document.write( "The original number: 26 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"the original number is 2 more than 3 times the sum of the digits.\" \n" ); document.write( "26 = 3(2+6) + 2 \n" ); document.write( "26 = 3(8) + 2; confirms our solution \n" ); document.write( " |