document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=651576>Question 651576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the digits of a three- digit number are three consecutive even integers. The middle digit is the least and the first digit is the greatest. If the number is divided by twice the sum of its digits, the quotient is 423/18. Find the number. pls really need ur help<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407791 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=407791\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the digits of a three-digit number are three consecutive even integer<BR>\n" );
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document.write( "The middle digit is the least and the first digit is the greatest.<BR>\n" );
document.write( "Let n = the middle digit<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(n+4) = the greatest<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(n+2) = the next greatest<BR>\n" );
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document.write( "The sum of the three digits:<BR>\n" );
document.write( "n + (n+2) + (n+4) = (3n+6)<BR>\n" );
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document.write( "If the number is divided by twice the sum of its digits, the quotient is 423/18<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%28n%2B4%29+%2B+10n+%2B+%28n%2B2%29%29%2F2%283n%2B6%29 ALIGN=MIDDLE  ALT=\"%28100%28n%2B4%29+%2B+10n+%2B+%28n%2B2%29%29%2F2%283n%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100n+%2B+400+%2B+10n+%2B+n+%2B+2%29%2F%286n%2B12%29 ALIGN=MIDDLE  ALT=\"%28100n+%2B+400+%2B+10n+%2B+n+%2B+2%29%2F%286n%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28111n%2B402%29%2F%286n%2B12%29 ALIGN=MIDDLE  ALT=\"%28111n%2B402%29%2F%286n%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2837n%2B134%29%29%2F%283%282n%2B4%29%29 ALIGN=MIDDLE  ALT=\"%283%2837n%2B134%29%29%2F%283%282n%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cancel 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2837n%2B134%29%29%2F%28%282n%2B4%29%29 ALIGN=MIDDLE  ALT=\"%28%2837n%2B134%29%29%2F%28%282n%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=423%2F18 ALIGN=MIDDLE  ALT=\"423%2F18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "423(2n+4) = 18(37n + 134)<BR>\n" );
document.write( "846n + 1692 = 666n + 2412<BR>\n" );
document.write( "846n - 666n = 2412 - 1692<BR>\n" );
document.write( "180n = 720<BR>\n" );
document.write( "n = 720/180<BR>\n" );
document.write( "n = 4 is the middle digit of the number<BR>\n" );
document.write( "then<BR>\n" );
document.write( "4 + 4 = 8 is the 1st digit<BR>\n" );
document.write( "and<BR>\n" );
document.write( "4 + 2 = 6 is 3rd digit<BR>\n" );
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document.write( "846 is the number<BR>\n" );
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document.write( "Check this; (number over twice the sum of the digits)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=846%2F2%2818%29 ALIGN=MIDDLE  ALT=\"846%2F2%2818%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 846/36 reduces to 423/18<BR>\n" );
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