document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=571031>Question 571031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers whose sum is 54 and whose product is 665. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367905 by </B><A HREF=/tutors/aboutme.mpl?userid=nyc_function><B>nyc_function(2741)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nyc_function><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=nyc_function><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=367905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have two equations in two unknowns.\r<BR>\n" );
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document.write( "a + b = 54\r<BR>\n" );
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document.write( "a*b = 665\r<BR>\n" );
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document.write( "Solving a + b = 54 for a, I get a = 54 - b.\r<BR>\n" );
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document.write( "I then plug 54 - b in the equation a*b = 665.\r<BR>\n" );
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document.write( "(54 - b)*b = 665\r<BR>\n" );
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document.write( "I proceed to solve (54 - b)*b = 665 for b.\r<BR>\n" );
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document.write( "Solving for b, I get two answers: b = 19 and b = 35.\r<BR>\n" );
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document.write( "To find a, I must replace either original equation with either value of b.\r<BR>\n" );
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document.write( "I will use b = 19.\r<BR>\n" );
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document.write( "a + b = 54\r<BR>\n" );
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document.write( "a + 19 = 54\r<BR>\n" );
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document.write( "a = 54 - 19\r<BR>\n" );
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document.write( "a = 35.\r<BR>\n" );
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document.write( "The numbers are 19 and 35.\r<BR>\n" );
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