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 #624272 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=624272\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number is 3 more than another. The difference between their squares is 51. What are the numbers? <BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "x = y + 3<BR>\n" );
document.write( "x^2 - y^2 = 51<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Substitute for \"x\" and solve for \"y\"::<BR>\n" );
document.write( "(y+3)^2 - y^2 = 51<BR>\n" );
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document.write( "y^2+6y+9 - y^2 = 51<BR>\n" );
document.write( "6y+9 = 51<BR>\n" );
document.write( "6y = 60<BR>\n" );
document.write( "y = 10<BR>\n" );
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document.write( "solve for \"x\"::<BR>\n" );
document.write( "x = y + 3<BR>\n" );
document.write( "x = 13<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );