document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177817>Question 177817</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rick is 5 times the age of Mike, who is half the age of Ed. Fred is double the ages of Mike and Ed combined. Daniel is 79 years younger than Rick.  All thier ages equal 271. What is the age of Daniel. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132810 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=132810\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rick is 5 times the age of Mike, who is half the age of Ed. Fred is double the ages of Mike and Ed combined. Daniel is 79 years younger than Rick. All thier ages equal 271. What is the age of Daniel.<BR>\n" );
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document.write( "R = 5M<BR>\n" );
document.write( "M = (1/2)E<BR>\n" );
document.write( "F = 2(M + E)<BR>\n" );
document.write( "D = R-79<BR>\n" );
document.write( "R + M + F + E + D = 271<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "R + M  + F + E + D = 271<BR>\n" );
document.write( "R - 5M + 0 + 0 + 0 = 0<BR>\n" );
document.write( "0 + 2M + 0 - E + 0 = 0<BR>\n" );
document.write( "0 + 2M - F +2E + 0 = 0<BR>\n" );
document.write( "R + 0  + 0 + 0 - D = 79<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Solve the system by any method you know to get:<BR>\n" );
document.write( "R = <BR>\n" );
document.write( "M =<BR>\n" );
document.write( "F =<BR>\n" );
document.write( "E =<BR>\n" );
document.write( "D =<BR>\n" );
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document.write( "Comment:<BR>\n" );
document.write( "This set of equations does not yield whole number values for the variables.<BR>\n" );
document.write( "The equations are based on the words used in the narrative.<BR>\n" );
document.write( "Check the words; make sure they express the problem you are trying to solve.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );