document.write( "Question 480029: a two digit number is six more than thrice its unit digit. The number would be reversed if it is added to 45. what is the number? \n" ); document.write( "
Algebra.Com's Answer #328848 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let x = the 10's digit
\n" ); document.write( "let y = the units
\n" ); document.write( "10x+y = \"the number)
\n" ); document.write( ":
\n" ); document.write( "\"a two digit number is six more than thrice its unit digit.\"
\n" ); document.write( "10x + y = 3y + 6
\n" ); document.write( "10x = 3y - y + 6
\n" ); document.write( "10x = 2y + 6
\n" ); document.write( ":
\n" ); document.write( "\" The number would be reversed if it is added to 45.\"
\n" ); document.write( "10x + y + 45 = 10y + x
\n" ); document.write( "10x - x + 45 = 10y - y
\n" ); document.write( "9x + 45 = 9y
\n" ); document.write( "simplify, divide by 9
\n" ); document.write( "x + 5 = y
\n" ); document.write( ":
\n" ); document.write( "Using the 1st equation, replace y with (x+5)
\n" ); document.write( "10x = 2(x+5) + 6
\n" ); document.write( "10x = 2x + 10 + 6
\n" ); document.write( "10x - 2x = 10 + 6
\n" ); document.write( "8x = 16
\n" ); document.write( "x = 16/8
\n" ); document.write( "x = 2
\n" ); document.write( ":
\n" ); document.write( "2 + 5 = y
\n" ); document.write( "y = 7
\n" ); document.write( ":
\n" ); document.write( "27 is the number
\n" ); document.write( ":
\n" ); document.write( "Check this in both statements\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );