document.write( "Question 252616: 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
\n" ); document.write( "\n" ); document.write( "Thank you very much for answering my first question . It helps A lot. Thanks again
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Algebra.Com's Answer #184643 by JimboP1977(311)\"\" \"About 
You can put this solution on YOUR website!
This is how I would tackle the problem:\r
\n" ); document.write( "\n" ); document.write( "The three digit number can be represent as \"100x%2B10y%2Bz\" where 100x is the hundreds, 10y is the tens and z is the units.\r
\n" ); document.write( "\n" ); document.write( "We know that \"100x%2B10y%2Bz+=+43%28x%2By%2Bz%29\". We know that the three digit number is divisible by 5 which means that z must be either 0 or 5.\r
\n" ); document.write( "\n" ); document.write( "We know that x-2 = y.\r
\n" ); document.write( "\n" ); document.write( "Lets assume that z = 0. Collect terms in the equation \"100x%2B10y%2Bz+=+43%28x%2By%2Bz%29\"\r
\n" ); document.write( "\n" ); document.write( "\"100x%2B10y+=+43x%2B43y\"
\n" ); document.write( "\"57x-33y+=+0\"\r
\n" ); document.write( "\n" ); document.write( "Substitute x-2 in for y to give \"57x-33%28x-2%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"57x-33x%2B66+=+0\"
\n" ); document.write( "\"24x%2B66+=+0\"
\n" ); document.write( "\"x=+-66%2F24\"\r
\n" ); document.write( "\n" ); document.write( "x must be an integer, so we know z must be 5.\r
\n" ); document.write( "\n" ); document.write( "Collect terms in the equation \"100x%2B10y%2Bz+=+43%28x%2By%2Bz%29\"
\n" ); document.write( "\"100x%2B10y%2B5+=+43x%2B43y%2B215\"
\n" ); document.write( "\"57x-33y-210=+0\"\r
\n" ); document.write( "\n" ); document.write( "Substitute x-2 in for y to give \"57x-33%28x-2%29-210+=+0\"
\n" ); document.write( "\"57x-%2833x-66%29-210+=+0\"
\n" ); document.write( "\"24x%2B66-210+=+0\"
\n" ); document.write( "\"24x+=+144\"
\n" ); document.write( "\"x+=+6\"\r
\n" ); document.write( "\n" ); document.write( "S0 we know that the 3 digit number is 645.\r
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