document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209008>Question 1209008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sophie's favorite number is a two-digit number.  If she reverses the digits, the result is $45$ less than her favorite number.  The sum of the digits in her favorite number is $6$.  What is Sophie's favorite number?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #847572 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52790)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=847572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Sophie's favorite number is a two-digit number. If she reverses the digits, the result is $45$ less <BR>\n" );
document.write( "than her favorite number. The sum of the digits in her favorite number is $6$. What is Sophie's favorite number?<BR>\n" );
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document.write( "The given info that the difference of the number and the reversed number is &nbsp;45<BR>\n" );
document.write( "tells us that the difference of the digits is &nbsp;45/9 = 5.\r<BR>\n" );
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document.write( "Hence, &nbsp;the digits are of different parity.\r<BR>\n" );
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document.write( "Then the sum of the digits can not be &nbsp;6.  &nbsp;&nbsp;Contradiction.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Beware of sending wrong tasks to this forum.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Avoid sending wrong tasks to this forum.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Big brother is watching everything you do here.\r<BR>\n" );
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