document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67918>Question 67918</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>prentice hall Algebra 1</A><BR>\n" );
document.write( ": <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 #48293 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=48293\">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\r<BR>\n" );
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document.write( "Let x=units digit\r<BR>\n" );
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document.write( "x/2=tens digit\r<BR>\n" );
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document.write( "x-3=hundreths digit\r<BR>\n" );
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document.write( "We know that the number would be: 100(x-3)+10(x/2)+x\r<BR>\n" );
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document.write( "Now we are told that 28 times the sum of the digits is equal to the number. So:\r<BR>\n" );
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document.write( "28(x+x/2+(x-3))=100(x-3)+10(x/2)+x clear parens\r<BR>\n" );
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document.write( "28x+14x+28x-84=100x-300+5x+x   collect like terms<BR>\n" );
document.write( "70x-84=106x-300 continue simplifying<BR>\n" );
document.write( "-106x+70x=-300+84\r<BR>\n" );
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document.write( "-36x=-216<BR>\n" );
document.write( "x=6--------------------------unit digit<BR>\n" );
document.write( "x/2=6/2=3------------------------tens digit<BR>\n" );
document.write( "x-3=6-3=3------------------------hundreths digit\r<BR>\n" );
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document.write( "THE NUMBER IS:   336--------------------------ANSWER\r<BR>\n" );
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document.write( "ck\r<BR>\n" );
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document.write( "28(6+3+3)=336<BR>\n" );
document.write( "28(12)=336<BR>\n" );
document.write( "336=336\r<BR>\n" );
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document.write( "Hope this helps-----Ptaylor<BR>\n" );
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