document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=532452>Question 532452</A>: <I><SPAN STYLE=\"word-break: break-all;\">  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #350852 by </B><A HREF=/tutors/aboutme.mpl?userid=jkrsmsc76><B>jkrsmsc76(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jkrsmsc76><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=350852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One positive number is 2 more than twice another. If their product is 144, find the numbers.\r<BR>\n" );
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document.write( "The first sentence basically says: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2y%2B2 ALIGN=MIDDLE  ALT=\"x+=+2y%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (x is 2 more than twice y).<BR>\n" );
document.write( "We also are told that the product of the 2 numbers is 144: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ay+=+144 ALIGN=MIDDLE  ALT=\"x%2Ay+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Using substitution, x can be replaces with 2y + 2, to give us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282y%2B2%29%2Ay+=+144 ALIGN=MIDDLE  ALT=\"%282y%2B2%29%2Ay+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We now solve this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y%5E2+%2B+2y+=+144 ALIGN=MIDDLE  ALT=\"2y%5E2+%2B+2y+=+144\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Divide everything by 2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2B+y+=+72 ALIGN=MIDDLE  ALT=\"y%5E2+%2B+y+=+72\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Subtract 72 from both sides to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2+%2B+y+-+72+=+0 ALIGN=MIDDLE  ALT=\"y%5E2+%2B+y+-+72+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Factor the left side: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%2B9%29%2A%28y-8%29=0 ALIGN=MIDDLE  ALT=\"%28y%2B9%29%2A%28y-8%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So y=-9 or y=8. Since the question says the number is positive, we don't use -9.\r<BR>\n" );
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document.write( "So y = 8. Go back to the very first equation: x = 2y + 2. plug in 8 for y and we get x = 18. So the two numbers are 8 and 18.\r<BR>\n" );
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document.write( "You can check this by multiplying 8 and 18, to make sure you get 144. </SPAN>\n" );
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