document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=813468>Question 813468</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On my Precal 20 test there was this question:<BR>\n" );
document.write( "Two numbers equal 32. Their reciprocals equal 1/6. What are the two numbers?<BR>\n" );
document.write( "I came up with two equations:<BR>\n" );
document.write( "X+Y=32 and of course 1/X+1/Y=1/6 but no matter what I do the question seems impossible.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489682 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=489682\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "x + y = 32\r<BR>\n" );
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document.write( "y = 32 - x\r<BR>\n" );
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document.write( "1/x + 1/y = 1/6\r<BR>\n" );
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document.write( "1/x + 1/(32 - x) = 1/6\r<BR>\n" );
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document.write( "6x(32-x) * [1/x + 1/(32 - x)] = 6x(32-x)*(1/6) ... multiply both sides by the LCD to clear out the fractions\r<BR>\n" );
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document.write( "6(32-x) + 6x = x(32-x)\r<BR>\n" );
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document.write( "192 - 6x + 6x = 32x - x^2\r<BR>\n" );
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document.write( "192 = 32x - x^2\r<BR>\n" );
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document.write( "0 = 32x - x^2 - 192\r<BR>\n" );
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document.write( "32x - x^2 - 192 = 0\r<BR>\n" );
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document.write( "-x^2 + 32x - 192 = 0\r<BR>\n" );
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document.write( "-1*(-x^2 + 32x - 192) = -1*0\r<BR>\n" );
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document.write( "x^2 - 32x + 192 = 0\r<BR>\n" );
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document.write( "(x-8)(x-24) = 0\r<BR>\n" );
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document.write( "I'll let you finish up. Don't forget to check any possible answers you get.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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