document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140573>Question 140573</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 #102325 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=102325\">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. The units digit is twice the tens digit and 3 more than the hundreds digit. Find the number.<BR>\n" );
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document.write( "x = 100's digit<BR>\n" );
document.write( "y = 10's digit<BR>\n" );
document.write( "z = units<BR>\n" );
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document.write( "write an equation for each statement:<BR>\n" );
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" );
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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" );
document.write( "Simplify, divide equation by 9<BR>\n" );
document.write( "8x = 2y + 3z<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" );
document.write( "Using the equation: 8x = 2y + 3z, substitute .5z for y and (z-3) for x<BR>\n" );
document.write( "8(z-3) = 2(.5z) + 3z<BR>\n" );
document.write( "8z - 24 = z + 3z<BR>\n" );
document.write( "8z - 24 = 4z<BR>\n" );
document.write( "8z - 4z = +24<BR>\n" );
document.write( "4z = 24<BR>\n" );
document.write( "z = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F4 ALIGN=MIDDLE  ALT=\"24%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "z = 6<BR>\n" );
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document.write( "Using the substitution equation find x and y:<BR>\n" );
document.write( "x = 6 -3<BR>\n" );
document.write( "x = 3<BR>\n" );
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document.write( "y = .5(6)<BR>\n" );
document.write( "y = 3<BR>\n" );
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document.write( "Our number 336<BR>\n" );
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document.write( "Check the solution using 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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