document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192437>Question 1192437</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To be exact, this word problem is all about Systems of Linear Equation in Three Variables.\r<BR>\n" );
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document.write( "There are three boys, Cyril, Ryan, and Guye. The sum of their ages is twenty years. Cyril’s age added to Guye’s is four-time Ryan’s age, and Ryan’s age added to Cyril’s is four times Guye’s. How old are three boys?\r<BR>\n" );
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document.write( "Your answer would mean a lot. Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824314 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52794)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "There are three boys, Cyril, Ryan, and Guye. The sum of their ages is twenty years. <BR>\n" );
document.write( "Cyril’s age added to Guye’s is four-time Ryan’s age, and Ryan’s age added to Cyril’s is four times Guye’s. <BR>\n" );
document.write( "How old are three boys?<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;This problem can be solved &nbsp;MENTALLY &nbsp;without using any equations.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Common sense and mental reasoning is / (are) just enough.\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Indeed, we are given that \r\n" );
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document.write( "    Cyril’s age added to Guye’s is four-time Ryan’s age.\r\n" );
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document.write( "Add to it the Ryan's age.  You will get five times the Ryan's age.\r\n" );
document.write( "From the other side, the sum of ages of three boys is 20.\r\n" );
document.write( "It means that five times the Ryan's age is 20 years - - - hence, Ryan's age is 20/5 = 4 years.\r\n" );
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document.write( "Similar reasoning gives  20/5 = 4 years for the Guye's age.\r\n" );
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document.write( "It leaves  20-4-4 = 12 years for the Cyril's age.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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