document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1162006>Question 1162006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the numbers whose sum is 27 and product is 182.\r<BR>\n" );
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document.write( "Ans:let the numbers are x and (27-x).ect..............\r<BR>\n" );
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document.write( "In this case why we are taking (27-x) </SPAN>\n" );
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document.write( "You are calling the second number 27-x, because the sum of x and (27-x) is 27 -- as the problem requires.<br><BR>\n" );
document.write( "So the two numbers are x and (27-x), and their product is 182:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2827-x%29+=+182 ALIGN=MIDDLE  ALT=\"x%2827-x%29+=+182\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27x-x%5E2+=+182 ALIGN=MIDDLE  ALT=\"27x-x%5E2+=+182\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-27x%2B182%29+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-27x%2B182%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "To solve this using algebra, you need to factor the quadratic expression by finding two numbers whose sum is 27 and whose product is 182.<br><BR>\n" );
document.write( "But that's exactly what the original problem asked you to do.  So the formal algebra doesn't help to solve the problem.<br><BR>\n" );
document.write( "To find the answer, find the prime factorization of the product 182 and use it to find a way to write 182 as the product of two numbers whose sum is 27.<br><BR>\n" );
document.write( "182 = 2*91 = 2*7*13<br><BR>\n" );
document.write( "It should be easy to see that you want to combine the first two factors to get<br><BR>\n" );
document.write( "182 = 14*13<br><BR>\n" );
document.write( "14+13 = 27, so 14 and 13 are the numbers you are looking for.<br><BR>\n" );
document.write( "ANSWER: 14 and 13<br><BR>\n" );
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