document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181378>Question 1181378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have one more question. Could you please show the steps?<BR>\n" );
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document.write( "A positive integer is 5 less than another. If the reciprocal of the smaller integer is subtracted from twice the reciprocal of the larger, then the result is 7/204. Find the two integers.<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 #811268 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=811268\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A positive integer is 5 less than another.\r<BR>\n" );
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document.write( "let one integer be x<BR>\n" );
document.write( "the other (x-5)\r<BR>\n" );
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document.write( "the reciprocal of the smaller integer is subtracted from twice the reciprocal of the larger,\r<BR>\n" );
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document.write( "2/x  - 1/(x-5) = 7/204\r<BR>\n" );
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document.write( "(2(x-5)-x)/x(x-5) =7/204\r<BR>\n" );
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document.write( "(2x-10-x)/(x^2-5x) =7/204\r<BR>\n" );
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document.write( "(x-10)*204 = 7(x^2-5x)\r<BR>\n" );
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document.write( "204x -2040 =7x^2 -35x \r<BR>\n" );
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document.write( "7x^2-239x +2040=0\r<BR>\n" );
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document.write( "Solve the quadratic <BR>\n" );
document.write( "the numbers are 17 & 12\r<BR>\n" );
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