document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=368038>Question 368038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 48 and their difference is 80. Find each ofthe number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262272 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 48 and their difference is 80. Find each ofthe number.<BR>\n" );
document.write( "Let x = one number<BR>\n" );
document.write( "and y = the other number<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Our \"system\" of equations:<BR>\n" );
document.write( "x+y = 48<BR>\n" );
document.write( "x-y = 80<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, applying the \"addition method\" we add the two equations together:<BR>\n" );
document.write( "x+y = 48<BR>\n" );
document.write( "x-y = 80<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "2x = 128<BR>\n" );
document.write( "x =  64 (one number)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "find other number by substituting above into first equation:<BR>\n" );
document.write( "x+y = 48<BR>\n" );
document.write( "64+y = 48<BR>\n" );
document.write( "y = 48-64<BR>\n" );
document.write( "y = -16 (other number)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );