document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=447731>Question 447731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two pages that face eachother in a book have 465 as the sum of their page numbers. What is the number of the page that comes first? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308189 by </B><A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><B>Leaf W.(135)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Leaf+W.><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=Leaf+W.><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=308189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p = one of the page numbers<BR>\n" );
document.write( "Since they are facing each other, one number must have be one page greater than the other, so:<BR>\n" );
document.write( "p + 1 = other page number<BR>\n" );
document.write( "They have a sum of 465, so:<BR>\n" );
document.write( "p + (p + 1) = 465<BR>\n" );
document.write( "p + p + 1 = 465<BR>\n" );
document.write( "2p + 1 = 465<BR>\n" );
document.write( "Subtract 1 from both sides: 2p = 464<BR>\n" );
document.write( "Divide both sides by 2: p = 232<BR>\n" );
document.write( "So, one of the page numbers is 232. Plug this in for the value of p into the expression representing the other page number (p + 1) to find the other page number:<BR>\n" );
document.write( "232 + 1 = 233<BR>\n" );
document.write( "Therefore, the two page numbers are 232 and 233. However, the problem only asks for the page number that comes first. Since 232 is smaller, it must come first in the book.<BR>\n" );
document.write( "***Therefore, the number of the page that comes first is 232. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );