document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263062>Question 263062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi, i have got to find two numbers whose sum is 108 and whose difference is 54 thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193886 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=193886\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find two numbers whose sum is 108 and whose difference is 54<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = one number<BR>\n" );
document.write( "and y = second number<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x+y = 108 (equation 1)<BR>\n" );
document.write( "x-y = 54  (equation 2)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Using the \"elimination method\" we add the two equations together:<BR>\n" );
document.write( "x+y = 108<BR>\n" );
document.write( "x-y = 54<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "2x = 162<BR>\n" );
document.write( "x = 81 <BR>\n" );
document.write( ".<BR>\n" );
document.write( "To find y, we can plug the above into equation 1 and solve for y:<BR>\n" );
document.write( "x+y = 108<BR>\n" );
document.write( "81+y = 108<BR>\n" );
document.write( "y = 108-81<BR>\n" );
document.write( "y = 27<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The two numbers are 27 and 81<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );