document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615680>Question 615680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits of two digit number is 9.if the digits are reversed the new number is decresed by 9.find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387277 by </B><A HREF=/tutors/aboutme.mpl?userid=Maths68><B>Maths68(1474)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Maths68><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=Maths68><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=387277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the tens digit<BR>\n" );
document.write( "and y be the unit digit<BR>\n" );
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document.write( "So,\r<BR>\n" );
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document.write( "10x + y =  number<BR>\n" );
document.write( "The sum of the digits of a number is 9.<BR>\n" );
document.write( "x + y = 9............(1)\r<BR>\n" );
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document.write( "Reversing the digits decrease the number by 9.<BR>\n" );
document.write( "10y + x = 10x + y - 9<BR>\n" );
document.write( "10y - y = 10x - x - 9<BR>\n" );
document.write( "9y = 9x - 9<BR>\n" );
document.write( "9y = 9(x - 1)<BR>\n" );
document.write( "Divide above equation by 9, we have <BR>\n" );
document.write( "y = x - 1<BR>\n" );
document.write( "y-x=-1..............(2)\r<BR>\n" );
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document.write( "Add (1) and (2)\r<BR>\n" );
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document.write( "y - x = -1<BR>\n" );
document.write( "x + y = 9<BR>\n" );
document.write( "--------------          <BR>\n" );
document.write( "2y=8.........(2)\r<BR>\n" );
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document.write( "Divide by 2 both sides<BR>\n" );
document.write( "2y/2=8/2<BR>\n" );
document.write( "y = 4<BR>\n" );
document.write( "Put the value of x in (1)<BR>\n" );
document.write( "x+y=9<BR>\n" );
document.write( "x+4=9<BR>\n" );
document.write( "x=9-4<BR>\n" );
document.write( "x=5\r<BR>\n" );
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document.write( "Digits are 5 and 4<BR>\n" );
document.write( "and number is 54\r<BR>\n" );
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document.write( "Check<BR>\n" );
document.write( "======<BR>\n" );
document.write( "The sum of the digits of a number is 9<BR>\n" );
document.write( "5+4=9<BR>\n" );
document.write( "9=9\r<BR>\n" );
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document.write( "Reversing the digits decrease the number by 9.<BR>\n" );
document.write( "45=54-9<BR>\n" );
document.write( "45=45\r<BR>\n" );
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document.write( " </SPAN>\n" );
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