document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172347>Question 172347</A>: <I><SPAN STYLE=\"word-break: break-all;\"> brother can do the job in \"x\" hours and sister can do the job in \"y\" hours. if it takes them 4 hours to do the job working together, then what is the value of \"y\" ( multiple answers required. assume \" x\" and \"y\" are whole numbers) i tried x+y=4 and y= -x+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127288 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Brother works at the rate of 1/x of the job per hour<BR>\n" );
document.write( "Sister works at the rate of 1/y of the job per hour<BR>\n" );
document.write( "Together they work at the rate of 1/4 of the job per hour\r<BR>\n" );
document.write( "\n" );
document.write( "So we have:<BR>\n" );
document.write( "1/x +1/y = 1/4  multiply each term by 4xy<BR>\n" );
document.write( "4y+4x=xy<BR>\n" );
document.write( "subtract 4y from each side<BR>\n" );
document.write( "4y-4y+4x=xy-4y<BR>\n" );
document.write( "4x=y(x-4)<BR>\n" );
document.write( "solve for y<BR>\n" );
document.write( "y=4x/(x-4)<BR>\n" );
document.write( "Not only do x and y need to be whole numbers, they also need to be positive numbers; that means that x cannot be 1, 2, 3 otherwise we have a negative values for y. Also, x cannot be 4.  \r<BR>\n" );
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document.write( "Now we simply start assigning values for x>4 and see what we get:<BR>\n" );
document.write( "x=5, y=20<BR>\n" );
document.write( "ck<BR>\n" );
document.write( "1/5+1/20=1/4<BR>\n" );
document.write( "4/20+1/20=1/4<BR>\n" );
document.write( "1/4=1/4<BR>\n" );
document.write( "x=6, y=12<BR>\n" );
document.write( "ck<BR>\n" );
document.write( "1/6+1/12=1/4<BR>\n" );
document.write( "2/12+1/12=1/4<BR>\n" );
document.write( "1/4=1/4\r<BR>\n" );
document.write( "\n" );
document.write( "You can carry on from here\r<BR>\n" );
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document.write( "Hope this helps---ptaylor<BR>\n" );
document.write( " </SPAN>\n" );
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