document.write( "Question 305756: The sum of the digits of a two digit number is 15. If the digits are reversed, the result exceeds the original number by 9.Find the original number.
\n" ); document.write( "I think the first equation is: x + y = 15
\n" ); document.write( "

Algebra.Com's Answer #218880 by themathtutor2009(81)\"\" \"About 
You can put this solution on YOUR website!
x+y=15
\n" ); document.write( "10y+x=10x+y+9\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x+y=15
\n" ); document.write( "y=15-x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "10y+x=10x+y+9
\n" ); document.write( "10(15-x)+x=10x+15-x+9
\n" ); document.write( "150-10x+x=10x+15-x+9
\n" ); document.write( "150-9x=9x+24
\n" ); document.write( "150-24=9x+9x
\n" ); document.write( "126=18x
\n" ); document.write( "126/18=x
\n" ); document.write( "7=x
\n" ); document.write( "x=7\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "y=15-x=15-7=8\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: number is 78\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );