document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=778182>Question 778182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Brandon gave directions to his house but decided not to give the house number. Instead , he gave his friends some clues to see who could find his house.\r<BR>\n" );
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document.write( "The number is greater than 50.<BR>\n" );
document.write( "The number is less than 90.<BR>\n" );
document.write( "The two digits are different.<BR>\n" );
document.write( "The tens digit is larger than the ones digit.<BR>\n" );
document.write( "It is an odd number.<BR>\n" );
document.write( "The sum of its digit is 15 .\r<BR>\n" );
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document.write( "What is Brandon's house number? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474537 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=474537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"It is an odd number.\"<BR>\n" );
document.write( "That tells you that the ones digit is odd. The number must end in 1, 3, 5, 7, or 9.<BR>\n" );
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document.write( "\"The number is less than 90.\" AND \"The sum of its digit is 15.\"<BR>\n" );
document.write( "That tells you that it is a two-digit number, and the ones digit is either 7 or 9, because for a tens digit plus an odd ones digit to add to 15, the ones digit could not be 1, 3, or 5.<BR>\n" );
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document.write( "\"The tens digit is larger than the ones digit.\"<BR>\n" );
document.write( "That tells you that the ones digit cannot be 9 (because the tens digits must be larger), so the ones digit is 7. Then the tens digit could be 8, or 9.<BR>\n" );
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document.write( "With the tens digit being 9, the number would be 97, but that is not less than 90.<BR>\n" );
document.write( "The only choice left is for the tens digit to be 8, and Brandon's house number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%2887%29 ALIGN=MIDDLE  ALT=\"highlight%2887%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "NOTE:<BR>\n" );
document.write( "I did not use:<BR>\n" );
document.write( "\"The number is greater than 50.\"<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "\"The two digits are different.\"<BR>\n" );
document.write( "I did not need those facts.<BR>\n" );
document.write( "They make the problem easier, because you are told some facts explicitly, but with just the other facts, you can figure out that it is a two digit number, and the two digits are different.<BR>\n" );
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