document.write( "Question 568218: Explain how to answer this by elimination using multiplication please:
\n" ); document.write( "The sum of the digits of a two digit number is 11. If the digits are reversed, the new number is 45 more than the original number. Find the number and show your work.
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Algebra.Com's Answer #366865 by mananth(16946)\"\" \"About 
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let the digits be x & y x in the tens place and y in the units place\r
\n" ); document.write( "\n" ); document.write( "x+y=11\r
\n" ); document.write( "\n" ); document.write( "The number is 10x+y\r
\n" ); document.write( "\n" ); document.write( "reversed
\n" ); document.write( "10y+x\r
\n" ); document.write( "\n" ); document.write( "10y+x= 10x+y +45\r
\n" ); document.write( "\n" ); document.write( "9y-9x=45
\n" ); document.write( "/9
\n" ); document.write( "y-x=5\r
\n" ); document.write( "\n" ); document.write( "x+y =11
\n" ); document.write( "y-x=5\r
\n" ); document.write( "\n" ); document.write( "add the two equations
\n" ); document.write( "2y=16
\n" ); document.write( "/2
\n" ); document.write( "x=8
\n" ); document.write( "if x = 8 then y= 3\r
\n" ); document.write( "\n" ); document.write( "the number is 83\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca
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