document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=421854>Question 421854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of 3 nos is 24 among them 1number is equal to half of the sum of other 2 nos but four times the difference of them find the numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #294512 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=294512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let the numbers be x y z<BR>\n" );
document.write( "x+y+z=24<BR>\n" );
document.write( "x=1/2(y+z)<BR>\n" );
document.write( "2x=y+z<BR>\n" );
document.write( "2x-y-z=0<BR>\n" );
document.write( "x=4(y-z)<BR>\n" );
document.write( "x=4y-4z<BR>\n" );
document.write( "x-4y+4z=0<BR>\n" );
document.write( "....<BR>\n" );
document.write( "x+y+z=24	--------------1<BR>\n" );
document.write( "2x-y-z=	0-------------2<BR>\n" );
document.write( "x-4y+4z=	0-------------3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "consider equation 1 &2															<BR>\n" );
document.write( "Multiply 1 by 1								<BR>\n" );
document.write( "Multiply 2 by 1								<BR>\n" );
document.write( "we get															<BR>\n" );
document.write( "x+y+z=24					<BR>\n" );
document.write( "2x-y-z=0					<BR>\n" );
document.write( "Add the two 															<BR>\n" );
document.write( "3x=24	-------------4<BR>\n" );
document.write( "consider equation 2 & 3															<BR>\n" );
document.write( "Multiply 2 by -4											<BR>\n" );
document.write( "Multiply 3 by 1											<BR>\n" );
document.write( "we get 															<BR>\n" );
document.write( "-8x+4y	+4z=0						<BR>\n" );
document.write( "x-4y+4z	=0						<BR>\n" );
document.write( "Add the two 								<BR>\n" );
document.write( "-7x+8z=0	-------------5	<BR>\n" );
document.write( "Consider (4) & (5)						<BR>\n" );
document.write( "Multiply 4 by 7							<BR>\n" );
document.write( "Multiply (5) by 	3							<BR>\n" );
document.write( "we get															<BR>\n" );
document.write( "21x=168									<BR>\n" );
document.write( "-21x+24z	=0									<BR>\n" );
document.write( "Add the two 								<BR>\n" );
document.write( "24z=168									<BR>\n" );
document.write( "/24									<BR>\n" );
document.write( "z=7									<BR>\n" );
document.write( "Plug the value of z in	5									<BR>\n" );
document.write( "-7x+56=0									<BR>\n" );
document.write( "-7x=-56									<BR>\n" );
document.write( "x=8													<BR>\n" );
document.write( "plug value of x & z in					1										<BR>\n" );
document.write( "8+y+7=24								<BR>\n" );
document.write( "y=-8-7+24								<BR>\n" );
document.write( "y=9												<BR>\n" );
document.write( "								<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );