document.write( "Question 179134: 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? \n" ); document.write( "
Algebra.Com's Answer #134098 by ankor@dixie-net.com(22740)\"\" \"About 
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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?
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\n" ); document.write( "Let x = 100's digit
\n" ); document.write( "Let y = 10's digit
\n" ); document.write( "units digit = 0 or 5
\n" ); document.write( ":
\n" ); document.write( "\" hundreds digit that is 2 more than the tens digit.\"
\n" ); document.write( "x = y + 2
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\n" ); document.write( "Units = 5:
\n" ); document.write( "\"the number is 43 times the sum of the digit,\"
\n" ); document.write( "100x + 10y + 5 = 43(x + y + 5)
\n" ); document.write( "100x + 10y + 5 = 43x + 43y + 215
\n" ); document.write( "100x - 43x + 10y - 43y = 215 - 5
\n" ); document.write( "57x - 33y = 210
\n" ); document.write( ":
\n" ); document.write( "Substitute (y+2) for x
\n" ); document.write( "57(y+2) - 33y = 210
\n" ); document.write( "57y + 114 - 33y = 210
\n" ); document.write( "57y - 33y = 210 - 114
\n" ); document.write( "24y = 96
\n" ); document.write( "y = \"96%2F24\"
\n" ); document.write( "y = 4
\n" ); document.write( "then
\n" ); document.write( "x = 6
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\n" ); document.write( "the number: 645
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\n" ); document.write( "check 43(6+4+5) = 645 \n" ); document.write( "
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