document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95752>Question 95752</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534944701/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The sum of the digits of a three-digit number is 15. The tens digit is 5 more than the units digit. The sum of the hundreds digit and the units digit is 9. 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 #69772 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=69772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Let 100x= the hundreds digit<BR>\n" );
document.write( "10y=the tens digit <BR>\n" );
document.write( "And z=the units digit\r<BR>\n" );
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document.write( "Now we are told that x+y+z=15-------------------eq1\r<BR>\n" );
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document.write( "We are also told that: <BR>\n" );
document.write( "y=z+1-----------------------------------------------eq2\r<BR>\n" );
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document.write( "We are further told that:<BR>\n" );
document.write( "x+z=9-----------------------------------------------eq3\r<BR>\n" );
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document.write( "In eq3, subtract z from both sides:<BR>\n" );
document.write( "x+z-z=9-z collect like terms<BR>\n" );
document.write( "x=9-z-----------------------------------------eq3\r<BR>\n" );
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document.write( "Next, add eq2 and eq3 and we get:<BR>\n" );
document.write( "x+y=10 Now substitute x+y=10 into eq1\r<BR>\n" );
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document.write( "10+z=15  subtract 10 from both sides<BR>\n" );
document.write( "10-10+z=15-10  collect like terms\r<BR>\n" );
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document.write( "z=5-------------------------------units digit<BR>\n" );
document.write( "From eq2, y=z+1=5+1=6-----------------------tens digit\r<BR>\n" );
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document.write( "From eq3, x=9-z=9-5=4-----------------------------hundreds digit\r<BR>\n" );
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document.write( "So our three digit number is: 465\r<BR>\n" );
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document.write( "CK<BR>\n" );
document.write( "4+6+5=15 ok<BR>\n" );
document.write( "15=15<BR>\n" );
document.write( "y=z+1<BR>\n" );
document.write( "6=5+1 ok<BR>\n" );
document.write( "x+z=9<BR>\n" );
document.write( "5+4=9<BR>\n" );
document.write( "9=9 ok\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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