document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008696>Question 1008696</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is 3 more than another. The difference between their squares is 51. What are the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624275 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=624275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the numbers x and y.  Thus we have<BR>\n" );
document.write( "x = y + 3   and<BR>\n" );
document.write( "x^2 - y^2 = 51<BR>\n" );
document.write( "Now substitute and get<BR>\n" );
document.write( "(y+3)^2 - y^2 = 51<BR>\n" );
document.write( "y^2 + 6y + 9 - y^2 = 51<BR>\n" );
document.write( "6y + 9 = 51<BR>\n" );
document.write( "6y = 42<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "x = 10<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );