document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287025>Question 287025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A three-digit number is 28 times the sum of its digits. The units digit is twice the tens digit and 3 more than the hundreds digit. 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 #208139 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=208139\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A three-digit number is 28 times the sum of its digits.<BR>\n" );
document.write( " The units digit is twice the tens digit and 3 more than the hundreds digit.<BR>\n" );
document.write( " Find the number<BR>\n" );
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document.write( "Let the three digits be, x, y, z<BR>\n" );
document.write( "then<BR>\n" );
document.write( "100x + 10y + z = the three digit number<BR>\n" );
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document.write( "Write an equation for each statement:<BR>\n" );
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document.write( "\"A three-digit number is 28 times the sum of its digits.\"<BR>\n" );
document.write( "100x + 10y + z = 28(x + y + z)<BR>\n" );
document.write( "100x + 10y + z = 28x + 28y + 28z<BR>\n" );
document.write( "100x - 28x = 28y - 10y + 28z - z<BR>\n" );
document.write( "72x = 18y + 27z<BR>\n" );
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document.write( "\"The units digit is twice the tens digit\"<BR>\n" );
document.write( "z = 2y<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y = .5z<BR>\n" );
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document.write( "\" and 3 more than the hundreds digit.\"<BR>\n" );
document.write( "z = x + 3<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x = z - 3<BR>\n" );
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document.write( " Find the number<BR>\n" );
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document.write( "In the equation 72x = 18y + 27z, replace x with (z-3) and y with .5z, find z:<BR>\n" );
document.write( "72(z-3) = 18(.5z) + 27z<BR>\n" );
document.write( "72z - 216 = 9z + 27z<BR>\n" );
document.write( "72z - 216 = 36z<BR>\n" );
document.write( "72z - 36z = 216<BR>\n" );
document.write( "36z = 216<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=216%2F36 ALIGN=MIDDLE  ALT=\"216%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = 6<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x = 6 - 3<BR>\n" );
document.write( "z = 3<BR>\n" );
document.write( "and<BR>\n" );
document.write( "y = .5(6)<BR>\n" );
document.write( "y = 3<BR>\n" );
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document.write( "336 is the 3 digit number<BR>\n" );
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document.write( "See if that's true in the statement:<BR>\n" );
document.write( "\"A three-digit number is 28 times the sum of its digits.\"<BR>\n" );
document.write( "336 = 28(3+3+6)<BR>\n" );
document.write( "336 = 28 * 12; confirms our solution </SPAN>\n" );
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