document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62698>Question 62698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Yuri has a board that is 98 in. long. He wishes to cut the board into two<BR>\n" );
document.write( "pieces so that one piece will be 10 in. longer than the other. What should the length<BR>\n" );
document.write( "of each piece be? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43501 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=43501\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b>Yuri has a board that is 98 in. long. He wishes to cut the board into two<BR>\n" );
document.write( "pieces so that one piece will be 10 in. longer than the other. What should the length of each piece be?</b>\r<BR>\n" );
document.write( "\n" );
document.write( "Let the short piece be S and the long piece L.<BR>\n" );
document.write( "Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2BL=98 ALIGN=MIDDLE  ALT=\"S%2BL=98\"   DISABLED_style= \"max-width:90%; height:auto;\" > since the length of the two pieces together will be 98 inches.<BR>\n" );
document.write( "Also, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=L=10%2BS ALIGN=MIDDLE  ALT=\"L=10%2BS\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the long piece will be 10 inches longer than the short one.\r<BR>\n" );
document.write( "\n" );
document.write( "Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2BL=98 ALIGN=MIDDLE  ALT=\"S%2BL=98\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%2B%2810%2BS%29=98 ALIGN=MIDDLE  ALT=\"S%2B%2810%2BS%29=98\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2S%2B10=98 ALIGN=MIDDLE  ALT=\"2S%2B10=98\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Subtract 10 from both sides and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2S=88 ALIGN=MIDDLE  ALT=\"2S=88\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S=44 ALIGN=MIDDLE  ALT=\"S=44\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So the short piece is 44 inches long and the longer piece is 10 inches longer, or 54 inches long.\r<BR>\n" );
document.write( "\n" );
document.write( "We verify this by checking the that two pieces add up to 98 inches. <BR>\n" );
document.write( "44+54 is indeed 98. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );