document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207364>Question 207364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 34 and their product is 168.  Find the two numbers.  I don't understand what product means.  Thank you. </SPAN>\n" );
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document.write( "The sum of two numbers is 34 and their product is 168. Find the two numbers. I don't understand what product means. Thank you.\r<BR>\n" );
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document.write( "SUM means ADD, while PRODUCT means MULTIPLY\r<BR>\n" );
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document.write( "Let the first number = F, and the second number = S\r<BR>\n" );
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document.write( "Then since their sum is 34, we get: F + S = 34 \r<BR>\n" );
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document.write( "Since their product is 168, then FS = 168 \r<BR>\n" );
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document.write( "F + S = 34 -----> F = 34 - S -----> equation (i)\r<BR>\n" );
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document.write( "FS = 168 ------> equation (ii)\r<BR>\n" );
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document.write( "Substitute 34 - S for F in eq (ii) -----> S(34 - S) = 168\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=34S+-+S%5E2+=+168 ALIGN=MIDDLE  ALT=\"34S+-+S%5E2+=+168\"   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=S%5E2+-+34S+%2B+168+=+0 ALIGN=MIDDLE  ALT=\"S%5E2+-+34S+%2B+168+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We're now looking for 2 factors whose products are + 168 (c * a), and whose sum is - 34. These 2 factors are (-28) and (-6).\r<BR>\n" );
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document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=S%5E2+-+34S+%2B+168+=+0 ALIGN=MIDDLE  ALT=\"S%5E2+-+34S+%2B+168+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----> (S - 28)(S - 6) = 0\r<BR>\n" );
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document.write( "The smaller number is 6. Therefore, the two numbers are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%286%29 ALIGN=MIDDLE  ALT=\"highlight_green%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2828%29 ALIGN=MIDDLE  ALT=\"highlight_green%2828%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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