document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030953>Question 1030953</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a certain two digit number is divided by sum of its digits the quotient is 7 and remainder is 3. if the digits are interchanged and resulting no is divided by positive difference of digits the quotient is 8 and remainder is 1. 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 #645675 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=645675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be in ten's place<BR>\n" );
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document.write( "the number is 10x+y\r<BR>\n" );
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document.write( "10x+y = (x+y) *7 +3<BR>\n" );
document.write( "10x+y = 7x+7v+3\r<BR>\n" );
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document.write( "3x-6y = 3<BR>\n" );
document.write( "/3<BR>\n" );
document.write( "x-2y=1.........................(1)\r<BR>\n" );
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document.write( "Digits interchanged , number will be 10y+x\r<BR>\n" );
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document.write( "10y+x = 8(x-y)+1<BR>\n" );
document.write( "10y+x=8x-8y+1<BR>\n" );
document.write( "18y-7x=1.........................(2)\r<BR>\n" );
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document.write( "Multiply (1) by 7 and add it to (2)<BR>\n" );
document.write( "7x-14y=7<BR>\n" );
document.write( "18y-7x=1\r<BR>\n" );
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document.write( "4y=8<BR>\n" );
document.write( "y=2\r<BR>\n" );
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document.write( "Now x-2y=1\r<BR>\n" );
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document.write( "plug y\r<BR>\n" );
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document.write( "x-4=1<BR>\n" );
document.write( "x=5\r<BR>\n" );
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document.write( "The number is 52\r<BR>\n" );
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document.write( " </SPAN>\n" );
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