document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=27769>Question 27769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 12. Three times the product of the number is 105. What are the numbers?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15124 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=15124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two numbers be a and b.<BR>\n" );
document.write( "You can write two equations from the problem description.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+12 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve this one for a and substitute into the second equation. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+12-b ALIGN=MIDDLE  ALT=\"a+=+12-b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3ab+=+105 ALIGN=MIDDLE  ALT=\"3ab+=+105\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2812-b%29b+=+105 ALIGN=MIDDLE  ALT=\"3%2812-b%29b+=+105\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36b+-+3b%5E2+=+105 ALIGN=MIDDLE  ALT=\"36b+-+3b%5E2+=+105\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 105 from both sides of the equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36b+-+3b%5E2+-+105+=+0 ALIGN=MIDDLE  ALT=\"36b+-+3b%5E2+-+105+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply through by -1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b%5E2+-+36b+%2B+105+=+0 ALIGN=MIDDLE  ALT=\"3b%5E2+-+36b+%2B+105+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out a 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28b%5E2+-+12b+%2B+35%29+=+0 ALIGN=MIDDLE  ALT=\"3%28b%5E2+-+12b+%2B+35%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero products principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2+-+12b+%2B+35+=+0 ALIGN=MIDDLE  ALT=\"b%5E2+-+12b+%2B+35+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor this quadratic equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b+-+7%29%28b+-+5%29+=+0 ALIGN=MIDDLE  ALT=\"%28b+-+7%29%28b+-+5%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Apply the zero products principle again.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+-+7+=+0 ALIGN=MIDDLE  ALT=\"b+-+7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+-+5+=+0 ALIGN=MIDDLE  ALT=\"b+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+-+7+=+0 ALIGN=MIDDLE  ALT=\"b+-+7+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+7 ALIGN=MIDDLE  ALT=\"b+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+-+5+=+0 ALIGN=MIDDLE  ALT=\"b+-+5+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+5 ALIGN=MIDDLE  ALT=\"b+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The two numbers are: 5 and 7<BR>\n" );
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