document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715609>Question 715609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the ratio of the ages of a husband and his wife is 4:3. after 4 years this ratio will be 9:7. if at the time of the marriage the ratio was 5:3, then how many years ago thy got married? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439507 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=439507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> husband --------- x<BR>\n" );
document.write( "wife = y\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy=4%2F3%29 ALIGN=MIDDLE  ALT=\"x%2Fy=4%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3x-4y=0...................(1)\r<BR>\n" );
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document.write( "after 4  years\r<BR>\n" );
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document.write( "(x+4)/(y+4) =9/7\r<BR>\n" );
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document.write( "7(x+4)=9(y+4)\r<BR>\n" );
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document.write( "7x+28=9y+36\r<BR>\n" );
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document.write( "7x-9y=8..............(2\r<BR>\n" );
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document.write( "x= 	husband's age							<BR>\n" );
document.write( "y=	wife's age							<BR>\n" );
document.write( " 								<BR>\n" );
document.write( "3	x		-4	y	=	0	.............1	<BR>\n" );
document.write( "Total value								<BR>\n" );
document.write( "7	x		-9	y	=	8	.............2	<BR>\n" );
document.write( "Eliminate	y							<BR>\n" );
document.write( "multiply (1)by		-9						<BR>\n" );
document.write( "Multiply (2) by		4						<BR>\n" );
document.write( "-27	x		36	y	=	0		<BR>\n" );
document.write( "28	x		-36	y	=	32		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "1	x				=	32		<BR>\n" );
document.write( "/	1							<BR>\n" );
document.write( "x	=	32      						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "3	x		-4	y	=	0		<BR>\n" );
document.write( "96			-4	y	=	0		<BR>\n" );
document.write( "			-4	y	=	0		-96<BR>\n" );
document.write( "			-4	y	=	-96		<BR>\n" );
document.write( "				y	=	24      		<BR>\n" );
document.write( "x=	32      		husband's age					<BR>\n" );
document.write( "y=	24      		wife's age					<BR>\n" );
document.write( ")\r<BR>\n" );
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document.write( "let a be the years ago they married\r<BR>\n" );
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document.write( "(x-a)/(y-a) =5/3\r<BR>\n" );
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document.write( "(32-a)/(24-a) =5/3\r<BR>\n" );
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document.write( "3(32-a)=5(24-a)\r<BR>\n" );
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document.write( "96-3a=120-5a\r<BR>\n" );
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document.write( "2a=24<BR>\n" );
document.write( "a=12\r<BR>\n" );
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document.write( "They got married 12 years ago </SPAN>\n" );
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