document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=551147>Question 551147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a certain two digit number is eight. If the original number is subtracted from the number formed by interchanging the digits, the result is -18. What is the original number? Please help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359439 by </B><A HREF=/tutors/aboutme.mpl?userid=mathstutor458><B>mathstutor458(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathstutor458><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=359439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the two digit number is xy<BR>\n" );
document.write( "The sum of the digits of a certain two digit number is 8<BR>\n" );
document.write( "so, x+y=8<BR>\n" );
document.write( "we have possibilities (1,7),(2,6)(3,5),(4,4) vice versa we cany take because,if the number formed by interchanging the digits is subtracted from the original number the result is -18. <BR>\n" );
document.write( "first take, x=1,y=7<BR>\n" );
document.write( "x+y=7 <BR>\n" );
document.write( "1+7=8<BR>\n" );
document.write( "8=8<BR>\n" );
document.write( "satisfies one condition,but we have to check other condition.i.e.,If the number formed by interchanging the digits is subtracted from the original number the result is -18. <BR>\n" );
document.write( "Which means, xy-yx=-18<BR>\n" );
document.write( "17-71=-18 not satisfied so x=1,y=7 are not. <BR>\n" );
document.write( "take, x=2,y=6<BR>\n" );
document.write( "x+y=8<BR>\n" );
document.write( "2+6=8<BR>\n" );
document.write( "8=8<BR>\n" );
document.write( "satisfies one condition,but we have to check other condition also.i.e.,If the number formed by interchanging the digits is subtracted from the original number the result is -18. <BR>\n" );
document.write( "xy-yx=-18<BR>\n" );
document.write( "26-62=-18  not satisfies the condition.\r<BR>\n" );
document.write( "\n" );
document.write( "take, x=3,y=5<BR>\n" );
document.write( "x+y=8<BR>\n" );
document.write( "3+5=8<BR>\n" );
document.write( "8=8<BR>\n" );
document.write( "satisfies one condition,but we have to check other condition also.i.e.,If the number formed by interchanging the digits is subtracted from the original number the result is -18. <BR>\n" );
document.write( "xy-yx=-18<BR>\n" );
document.write( "35-53=-18   satisfies the condition.<BR>\n" );
document.write( "so , solutions are x=3,y=5 <BR>\n" );
document.write( "original number =35----->answer </SPAN>\n" );
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