document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=876529>Question 876529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of a number of two digits & the number obtained on inter–<BR>\n" );
document.write( "changing the digits is 99. If 5 is added to the number , then it is 4 less<BR>\n" );
document.write( "than 6 times the sum of the digits. Find the number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #528838 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=528838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the number be xy\r<BR>\n" );
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document.write( "10x+y+10y+x=99\r<BR>\n" );
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document.write( "11x+11y=99<BR>\n" );
document.write( "/11<BR>\n" );
document.write( "x+y=9.....................(1)\r<BR>\n" );
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document.write( "ii condition\r<BR>\n" );
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document.write( "10x+y+5 = 6(x+y)-4\r<BR>\n" );
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document.write( "10x+y+5=6x+6y-4\r<BR>\n" );
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document.write( "4x-5y=-9..................(2)\r<BR>\n" );
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document.write( "solve (1) &(2)\r<BR>\n" );
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document.write( "1	x	+	1	y	=	9	.............1	<BR>\n" );
document.write( "								<BR>\n" );
document.write( "4	x		-5	y	=	-9	.............2	<BR>\n" );
document.write( "-5	y							<BR>\n" );
document.write( "multiply (1)by		5						<BR>\n" );
document.write( "Multiply (2) by		1						<BR>\n" );
document.write( "5	x		5	y	=	45		<BR>\n" );
document.write( "4	x		-5	y	=	-9		<BR>\n" );
document.write( "Add the two equations								<BR>\n" );
document.write( "9	x				=	36		<BR>\n" );
document.write( "/	9							<BR>\n" );
document.write( "x	=	4      						<BR>\n" );
document.write( "plug value of			x	in (1)				<BR>\n" );
document.write( "1	x	+	1	y	=	9		<BR>\n" );
document.write( "4		+		y	=	9		<BR>\n" );
document.write( "				y	=	9		-4<BR>\n" );
document.write( "				y	=	5		<BR>\n" );
document.write( "				y	=	5		<BR>\n" );
document.write( "the number is 45 </SPAN>\n" );
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