document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110679>Question 1110679</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Some pages were torn out of a book by mistake. The person repairing the book noticed that the number on one of the facing pages was 11 more than twice the number on their other facing page, and the difference of the page numbers was 23. How many sheeted of paper was torn out of this book? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725692 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=725692\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> WITHOUT A SYSTEM OF EQUATIONS:<BR>\n" );
document.write( "Let us open the book at the place where the missing pages were torn off.<BR>\n" );
document.write( "Assuming it is an American book (not a Japanese Manga novel),<BR>\n" );
document.write( "and you are holding the book as if you were going to read it,<BR>\n" );
document.write( "on the left side we see page number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the number on the last not torn page.<BR>\n" );
document.write( "Facing that page, on the right side you have page number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B11 ALIGN=MIDDLE  ALT=\"2x%2B11\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "\"11 more than twice the number on their other facing page.\"<BR>\n" );
document.write( " <BR>\n" );
document.write( "The difference of the page numbers is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%2B11%29-x=23 ALIGN=MIDDLE  ALT=\"%282x%2B11%29-x=23\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That equation simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B11=23 ALIGN=MIDDLE  ALT=\"x%2B11=23\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and then to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=23-11 ALIGN=MIDDLE  ALT=\"x=23-11\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12 ALIGN=MIDDLE  ALT=\"x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That is good, because when I open an American book,<BR>\n" );
document.write( "the page on the left always has an even number.<BR>\n" );
document.write( " <BR>\n" );
document.write( "The page facing page <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > has a number that is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23 ALIGN=MIDDLE  ALT=\"23\"   DISABLED_style= \"max-width:90%; height:auto;\" > more.<BR>\n" );
document.write( "That number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2B23=35 ALIGN=MIDDLE  ALT=\"12%2B23=35\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "Pages <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35 ALIGN=MIDDLE  ALT=\"35\"   DISABLED_style= \"max-width:90%; height:auto;\" > and up are still in the book.<BR>\n" );
document.write( "Pages 1 through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35-1=34 ALIGN=MIDDLE  ALT=\"35-1=34\"   DISABLED_style= \"max-width:90%; height:auto;\" > were in the book originally,<BR>\n" );
document.write( "but of those pages, only pages 1 through <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > are still in the book.<BR>\n" );
document.write( "The difference is the<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34-12=22 ALIGN=MIDDLE  ALT=\"34-12=22\"   DISABLED_style= \"max-width:90%; height:auto;\" > pages missing.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Each sheet has two pages, one on each side, so those <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22 ALIGN=MIDDLE  ALT=\"22\"   DISABLED_style= \"max-width:90%; height:auto;\" > pages<BR>\n" );
document.write( "are in the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%2F2=highlight%2811%29 ALIGN=MIDDLE  ALT=\"22%2F2=highlight%2811%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > sheets that were torn out of the book. </SPAN>\n" );
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