document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=745072>Question 745072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits of a three digit number is 14. The hundreds digit being 4 times the units digit. If 594 is subtracted from the number, the order of hundreds tens digits will be reversed. 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 #453694 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the sum of the digits of a three digit number is 14. The hundreds digit being 4 times the units digit. If 594 is subtracted from the number, the order of hundreds tens digits will be reversed. Find the number.\r<BR>\n" );
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document.write( "let the number be xyz\r<BR>\n" );
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document.write( "x+y+z=14\r<BR>\n" );
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document.write( "x=4z\r<BR>\n" );
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document.write( "Therefore 4z+y+z=14<BR>\n" );
document.write( "y+5z=14..........................(1)\r<BR>\n" );
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document.write( "594  subtracted from the number\r<BR>\n" );
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document.write( "100x+10y+z-594 = 100z+10y+x\r<BR>\n" );
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document.write( "99x-99z=594\r<BR>\n" );
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document.write( "/99<BR>\n" );
document.write( "x-z=6\r<BR>\n" );
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document.write( "But x=4z<BR>\n" );
document.write( "4z-z=6<BR>\n" );
document.write( "3z=6<BR>\n" );
document.write( "z=2<BR>\n" );
document.write( "if z=2 then x= 4z=>4*2=8\r<BR>\n" );
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document.write( "x+y+z=14<BR>\n" );
document.write( "8+y+2=14<BR>\n" );
document.write( "10+y=14<BR>\n" );
document.write( "y=14-10<BR>\n" );
document.write( "y=4\r<BR>\n" );
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document.write( "The number is xyz<BR>\n" );
document.write( "842 </SPAN>\n" );
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