document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=390649>Question 390649</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of these two numbers are 31. The product of these two numbers are 150, 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 #277038 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=277038\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of these two numbers are 31. The product of these two numbers are 150, what are the numbers?<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "x + y = 31<BR>\n" );
document.write( "xy = 150<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Modify:<BR>\n" );
document.write( "x = 31-y<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Substitute:<BR>\n" );
document.write( "(31-y)y = 150<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve:<BR>\n" );
document.write( "-y^2+31y-150 = 0<BR>\n" );
document.write( "y^2-31y+150 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "y^2- 25y-6y + 150 = 0<BR>\n" );
document.write( "y(y-25)-6(y-25) = 0<BR>\n" );
document.write( "(y-25)(y-6) = 0 <BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "y = 25, then x = 6<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "y = 6, then x = 25<BR>\n" );
document.write( "======================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );