document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40561>Question 40561</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 25, and the difference of their squares is 75. What are 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 #25996 by </B><A HREF=/tutors/aboutme.mpl?userid=Paul><B>Paul(988)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Paul><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=25996\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let one number be x<BR>\n" );
document.write( "Let another number be y<BR>\n" );
document.write( "x+y=25<BR>\n" );
document.write( "y=25-x (SUBSITUTION)<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-y%5E2=75 ALIGN=MIDDLE  ALT=\"x%5E2-y%5E2=75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Sub for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%2825-x%29%5E2=75 ALIGN=MIDDLE  ALT=\"x%5E2-%2825-x%29%5E2=75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-%28625%2Bx%5E2-50x%29=75 ALIGN=MIDDLE  ALT=\"x%5E2-%28625%2Bx%5E2-50x%29=75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "50x=700<BR>\n" );
document.write( "x=14<BR>\n" );
document.write( "y=25-14<BR>\n" );
document.write( "y=11<BR>\n" );
document.write( "Hence, the two numbers are 14 and 11.<BR>\n" );
document.write( "Paul. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );