document.write( "Question 380475: solve by system of equations.
\n" ); document.write( " The sum of the digits of a two digit number is 12. If 18 is added to the number, the digits will be reversed. Find the number.\r
\n" ); document.write( "\n" ); document.write( "please show all your work to help me understand \n" ); document.write( "
Algebra.Com's Answer #270041 by mananth(16949)\"\" \"About 
You can put this solution on YOUR website!
let the number be xy.
\n" ); document.write( "x ten's place
\n" ); document.write( "y units place
\n" ); document.write( "...
\n" ); document.write( "x+y = 12......................1
\n" ); document.write( "...
\n" ); document.write( "10x+y is the number
\n" ); document.write( "..
\n" ); document.write( "10x+y+18= 10y+x
\n" ); document.write( "10x-x+y-10y=-18
\n" ); document.write( "9x-9y=-18
\n" ); document.write( "/2
\n" ); document.write( "x-y =-2........................2
\n" ); document.write( "add 1 & 2
\n" ); document.write( "2x=12-2
\n" ); document.write( "2x=10
\n" ); document.write( "/2
\n" ); document.write( "x=5
\n" ); document.write( "..
\n" ); document.write( "x+y =12
\n" ); document.write( "so y=7
\n" ); document.write( "..
\n" ); document.write( "the number is 57
\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca\r
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