document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048379>Question 1048379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For all positive integers x and y such that 1/x + 1/y = 1/12, find the greatest value that y can have.\r<BR>\n" );
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document.write( "What is the way to do this? Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #664074 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=664074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%2B1%2Fy+=+1%2F12 ALIGN=MIDDLE  ALT=\"1%2Fx%2B1%2Fy+=+1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2812x%29%2F%28x-12%29 ALIGN=MIDDLE  ALT=\"y=%2812x%29%2F%28x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=12%281%2B12%2F%28x-12%29%29 ALIGN=MIDDLE  ALT=\"y=12%281%2B12%2F%28x-12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Since x and y are positive integers, x-12 must divide 12.\r<BR>\n" );
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document.write( "===> x-12 = 1,2,3,4,6,12\r<BR>\n" );
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document.write( "Obviously, the value of x-12 that would maximize y is 1, which would give x = 13. The corresponding value of y would be 156. </SPAN>\n" );
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