document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252616>Question 252616</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. A three-digit number divisible by 5 has a hundreds digit that is 2 more than the tens digit. If the number is 43    times the sum of the digit , what is the number?  \r<BR>\n" );
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document.write( "Thank you very much for answering my first question . It helps A lot. Thanks again </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184635 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=184635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given number is divisible by 5.<BR>\n" );
document.write( "So the unit place is either 0 or 5<BR>\n" );
document.write( "First let us take the unit place to be 0.<BR>\n" );
document.write( "Let the tenth place be x.<BR>\n" );
document.write( "Given, hundreds digit that is 2 more than the tens digit.<BR>\n" );
document.write( "So the hundreth place = x+2.<BR>\n" );
document.write( "The sum of the digits = x+2+x+0 = 2x+2<BR>\n" );
document.write( "The valve of the number = (x+2)*100+x*10+0 <BR>\n" );
document.write( "                        = 100x+200+10x<BR>\n" );
document.write( "                        = 110x+200 \r<BR>\n" );
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document.write( "Given, the number is 43 times the sum of the digit <BR>\n" );
document.write( "           110x+200 = 43*(2x+2)<BR>\n" );
document.write( "           110x-86x = 86-200<BR>\n" );
document.write( "                24x = -114<BR>\n" );
document.write( "                  x = -114/24<BR>\n" );
document.write( "This is not possible because x is an inteder.<BR>\n" );
document.write( "Next,<BR>\n" );
document.write( "let us take the unit place to be 5.<BR>\n" );
document.write( "Let the tenth place be x.<BR>\n" );
document.write( "Given, hundreds digit that is 2 more than the tens digit.<BR>\n" );
document.write( "So the hundreth place = x+2.<BR>\n" );
document.write( "The sum of the digits = x+2+x+5 = 2x+7<BR>\n" );
document.write( "The valve of the number = (x+2)*100+x*10+5 <BR>\n" );
document.write( "                        = 100x+200+10x+5<BR>\n" );
document.write( "                        = 110x+205 \r<BR>\n" );
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document.write( "Given, the number is 43 times the sum of the digit <BR>\n" );
document.write( "           110x+205 = 43*(2x+7)<BR>\n" );
document.write( "           110x-86x = 301-205<BR>\n" );
document.write( "                 24x= 96<BR>\n" );
document.write( "                   x= 96/24<BR>\n" );
document.write( "                   x=4<BR>\n" );
document.write( "So the tenth place = 4.<BR>\n" );
document.write( "So the hundreth place = x+2 = 4+2 = 6<BR>\n" );
document.write( "Therefore the given number is 645<BR>\n" );
document.write( "  \r<BR>\n" );
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document.write( "        \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );