document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=3062>Question 3062</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find two numbers a and b such that the sum, product, and quotient of the two numbers are all equal. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #1307 by </B><A HREF=/tutors/aboutme.mpl?userid=kiru_khandelwal><B>kiru_khandelwal(79)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kiru_khandelwal><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=1307\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the two numbers be a and b\r<BR>\n" );
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document.write( "so a+b = ab = a/b\r<BR>\n" );
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document.write( "=> a+b = ab .....(1)<BR>\n" );
document.write( "and ab = a/b....(2)<BR>\n" );
document.write( "from equation (2)<BR>\n" );
document.write( "ab^2 = a<BR>\n" );
document.write( "=> b^2 = 1<BR>\n" );
document.write( "=> b = +/-1\r<BR>\n" );
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document.write( "Now sbustituting b = 1 in equation (1)<BR>\n" );
document.write( "=> a + 1 = a.....this is not possible as on adding 1 to ne number does not make it equal to itself\r<BR>\n" );
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document.write( "Now substituting b = -1 in equation(1)<BR>\n" );
document.write( "=> a-1 = -a<BR>\n" );
document.write( "=> 2a = 1<BR>\n" );
document.write( "=> a = 1/2\r<BR>\n" );
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document.write( "so a = 1/2 and b = -1 </SPAN>\n" );
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