document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31898>Question 31898</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five men took turns weighing themselves on a scale. However, they weighed each other two at a time, ten times total , so that every possible combination of two men was weighed. The scale had the following readouts for the pairs: 236 pounds, 244 pounds, 228 pounds, 250 pounds, 258 pounds, 230 pounds, 246 pounds, 238 pounds, 242 pounds, and 252 pounds.\r<BR>\n" );
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document.write( "How heavy was the heaviest man? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20709 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Five men took turns weighing themselves on a scale. However, they weighed each other two at a time, ten times total , so that every possible combination of two men was weighed. The scale had the following readouts for the pairs: 236 pounds, 244 pounds, 228 pounds, 250 pounds, 258 pounds, 230 pounds, 246 pounds, 238 pounds, 242 pounds, and 252 pounds.<BR>\n" );
document.write( "How heavy was the heaviest man?<BR>\n" );
document.write( "LET THE WEIGHTS 5 MEN IN ORDER OF DECREASING WEIGHT BE A,B,C,D,E<BR>\n" );
document.write( "WHEN THEY WEIGH IN PAIRS WE GET 5C2=5*4/2=10 DIFFERENT PAIRS OR 20 MEN<BR>\n" );
document.write( "HENCE THE TOTAL WEIGHT IS FOUR TIMES THE WEIGHT OF THE 5 MEN'S TOTAL WEIGHT<BR>\n" );
document.write( "4(A+B+C+D+E)=236+244+228+250+258+230+246+238+242+252=2424<BR>\n" );
document.write( "A+B+C+D+E=606..............I<BR>\n" );
document.write( "NOW HEAVIEST IS A+B=258.........II<BR>\n" );
document.write( "NEXT HEAVY IS A+C=252...........III<BR>\n" );
document.write( "LIGHTEST =D+E=228.................IV<BR>\n" );
document.write( "EQN.I-EQN.IV...GIVES..<BR>\n" );
document.write( "A+B+C+D+E-D-E=606-228=374<BR>\n" );
document.write( "A+B+C=374.....................V<BR>\n" );
document.write( "EQN.II+EQN.III GIVES<BR>\n" );
document.write( "A+B+A+C=258+252=510<BR>\n" );
document.write( "2A+B+C=510.................VI<BR>\n" );
document.write( "EQN.VI-EQ.EQN.V...GIVES...<BR>\n" );
document.write( "2A+B+C-A-B-C=510-374=136<BR>\n" );
document.write( "A=136<BR>\n" );
document.write( "SO HEAVIEST MAN'S WEIGHT =136 </SPAN>\n" );
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