document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919673>Question 919673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One number is two more than twice another, their product is 60. Determine both numbers  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557857 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=557857\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One number is two more than twice another, their product is 60. Determine both numbers <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "x = 2y + 2<BR>\n" );
document.write( "--<BR>\n" );
document.write( "xy = 60<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Substitute for \"x\" and solve for \"y\"::<BR>\n" );
document.write( "(2y+2)y = 60<BR>\n" );
document.write( "2(y+1)y = 60<BR>\n" );
document.write( "y^2+y = 30<BR>\n" );
document.write( "y^2+y-30 = 0<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(y+6)(y-5) = 0<BR>\n" );
document.write( "Positive solution::<BR>\n" );
document.write( "y = 5<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Since xy = 60 m x = 60/5 = 12<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );