document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785762>Question 785762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Fe, her mother and grandmother has an average age of 53, one-half of her grandmother's age, plus one- third of her mother's age, plus one-forth of her age is 65. if four years ago, Fe's grandmother was four times as old as Fe, how old are the now? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477727 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=477727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fe, her mother and grandmother has an average age of 53, one-half of her grandmother's age, plus one- third of her mother's age, plus one-forth of her age is 65. if four years ago, Fe's grandmother was four times as old as Fe, how old are the now?\r<BR>\n" );
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document.write( "fe-----------------x years\r<BR>\n" );
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document.write( "mother-------------y years\r<BR>\n" );
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document.write( "GM-----------------z years\r<BR>\n" );
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document.write( "(x+y+z)/3=53<BR>\n" );
document.write( "x+y+z=159...............................(1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2F2+%2B+y%2F3+%2B+x%2F4+=+65 ALIGN=MIDDLE  ALT=\"z%2F2+%2B+y%2F3+%2B+x%2F4+=+65\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "multiply by 12\r<BR>\n" );
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document.write( "6z+4y+3x=780.............................(2)\r<BR>\n" );
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document.write( "(z-4)= 4(x-4)<BR>\n" );
document.write( "z-4 = 4x-16<BR>\n" );
document.write( "4x-z=12.....................................(3)\r<BR>\n" );
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document.write( "1	x	+	1	y	+	1	z	=	159			--------------				1<BR>\n" );
document.write( "3	x	+	4	y		6	z	=	780			--------------				2<BR>\n" );
document.write( "4	x	+	0	y	+		-1	z	12			--------------				3<BR>\n" );
document.write( "																<BR>\n" );
document.write( "consider equation 1 &2				Eliminate	y											<BR>\n" );
document.write( "Multiply 1 by		-4					-5									<BR>\n" );
document.write( "Multiply 2 by		1					4									<BR>\n" );
document.write( "we get																<BR>\n" );
document.write( "-4	x		+	-4	y	+	-4	z	=	-636						<BR>\n" );
document.write( "3	x		+	4	y	+	6	z	=	780						<BR>\n" );
document.write( "Add the two we get																<BR>\n" );
document.write( "-1x+2z	=	144	-------------	(4)<BR>\n" );
document.write( "4x-z=12\r<BR>\n" );
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document.write( "-4x+8z=576 ( multiply (4) by 4)	<BR>\n" );
document.write( "4x-z=12<BR>\n" );
document.write( "7z=588<BR>\n" );
document.write( "z=84.......... grand mother's age<BR>\n" );
document.write( "plug z in (3)\r<BR>\n" );
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document.write( "4x-z=12<BR>\n" );
document.write( "4x-84=12<BR>\n" );
document.write( "4x=96<BR>\n" );
document.write( "x=24 ..... Fe's age\r<BR>\n" );
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document.write( "x+y+z=159\r<BR>\n" );
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document.write( "24+84+y=159<BR>\n" );
document.write( "y=159-108<BR>\n" );
document.write( "y= 51 ........... mother's age\r<BR>\n" );
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document.write( " </SPAN>\n" );
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