document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275104>Question 275104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following CANNOT be the sum of two integers that have a product of 30?\r<BR>\n" );
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document.write( "a) 31 b) 17 c) -11 d) –21\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 #200696 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=200696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> answer is selection c (-21)\r<BR>\n" );
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document.write( "here's why:\r<BR>\n" );
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document.write( "your product is 30.\r<BR>\n" );
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document.write( "this means that a*b must = 30\r<BR>\n" );
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document.write( "the possible factors are:\r<BR>\n" );
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document.write( "30*1<BR>\n" );
document.write( "15*2<BR>\n" );
document.write( "10*3<BR>\n" );
document.write( "6*5\r<BR>\n" );
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document.write( "the sum of these are:\r<BR>\n" );
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document.write( "31<BR>\n" );
document.write( "17<BR>\n" );
document.write( "13<BR>\n" );
document.write( "11\r<BR>\n" );
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document.write( "they can be either both plus or both minus and the product will be positive.\r<BR>\n" );
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document.write( "so the sum of these can be:\r<BR>\n" );
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document.write( "+/- 31<BR>\n" );
document.write( "+/- 17<BR>\n" );
document.write( "+/- 13<BR>\n" );
document.write( "+/- 11\r<BR>\n" );
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document.write( "31, 17, and 11 are part of your selections so they're good.\r<BR>\n" );
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document.write( "the only one that is not good is 21.\r<BR>\n" );
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document.write( "if you look at all the numbers that can add up to 21, you will see:\r<BR>\n" );
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document.write( "1 + 20<BR>\n" );
document.write( "2 + 19<BR>\n" );
document.write( "3 + 18<BR>\n" );
document.write( "4 + 17<BR>\n" );
document.write( "5 + 16<BR>\n" );
document.write( "6 + 15<BR>\n" );
document.write( "7 + 14<BR>\n" );
document.write( "8 + 13<BR>\n" );
document.write( "9 + 12<BR>\n" );
document.write( "10 + 11\r<BR>\n" );
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document.write( "none of the products of these numbers equals 30.\r<BR>\n" );
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document.write( "your answer is selection d (-21).\r<BR>\n" );
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