document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=414656>Question 414656</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when you reverse the digits in a certain two-digit number you decrease its value by 36. what is the number if the sum of its digits is 10.\r<BR>\n" );
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document.write( "i don't know how to set the equation up.\r<BR>\n" );
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document.write( "if you could that would be great! :)    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #290859 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=290859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "let unit digit number is x , tenth digit is y...\r<BR>\n" );
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document.write( "x+y = 10  ..............(1)\r<BR>\n" );
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document.write( "original value of number is 10y + x \r<BR>\n" );
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document.write( "after reversing it is 10x + y \r<BR>\n" );
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document.write( "10y +x -( 10x +y ) = 36 \r<BR>\n" );
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document.write( "=> 9y - 9x = 36 \r<BR>\n" );
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document.write( "=> y - x = 4   (dividing by 4 both side)\r<BR>\n" );
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document.write( "now, add this equation to equation (1)\r<BR>\n" );
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document.write( "we find, \r<BR>\n" );
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document.write( "2y = 14 \r<BR>\n" );
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document.write( "=> y = 7\r<BR>\n" );
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document.write( "and value of  x = 3 \r<BR>\n" );
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document.write( "so, original number is 7*10 + 3 = 73\r<BR>\n" );
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document.write( "after reversing it becomes   37 \r<BR>\n" );
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document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );