document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64734>Question 64734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this situation. Solve by elimination to find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #45269 by </B><A HREF=/tutors/aboutme.mpl?userid=303795><B>303795(602)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=303795><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=45269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let one number be x and the second number y<BR>\n" );
document.write( "x + y = 82<BR>\n" );
document.write( "x - y = 24\r<BR>\n" );
document.write( "\n" );
document.write( "To solve by elimination add the two equations together to get<BR>\n" );
document.write( "2x = 106<BR>\n" );
document.write( "x = 53<BR>\n" );
document.write( "If one number is 53 substitute x=53 into the first equation.<BR>\n" );
document.write( "53 + y = 82<BR>\n" );
document.write( "y=82-53<BR>\n" );
document.write( "y=29<BR>\n" );
document.write( "Check in the other equation<BR>\n" );
document.write( "53-29 = 24.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );