document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106361>Question 106361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help!!! my # is a multiple of 150 -- 9 is a factor of my # -- my # has 3 digits<BR>\n" );
document.write( "the sum of the # in my digit is 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77397 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is true that you number is divisible by 9 because the sum of its digits is 9 and a number is divisible by 9 if the sum of the digits is divisible by 9 (9 is divisible by 9)\r<BR>\n" );
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document.write( "It is a multiple of 150. And, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150=15%2A10 ALIGN=MIDDLE  ALT=\"150=15%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" > this means that it MUST end with a ZERO.\r<BR>\n" );
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document.write( "Aso, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150=3%2A50 ALIGN=MIDDLE  ALT=\"150=3%2A50\"   DISABLED_style= \"max-width:90%; height:auto;\" >---it is divisible by 50! that means it is just ending up with 00 or 50.\r<BR>\n" );
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document.write( "AGAIN, the sum of the digits must be divisible by 9. Now, we know two things the second digit and the last digit---the second digit maybe a FIVE or a ZERO and the last didit is sure to be ZERO.\r<BR>\n" );
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document.write( "The sum maybe\r<BR>\n" );
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document.write( "1st digit+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B5 ALIGN=MIDDLE  ALT=\"0%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >=1st digit +<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "1st digit + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B0 ALIGN=MIDDLE  ALT=\"0%2B0\"   DISABLED_style= \"max-width:90%; height:auto;\" >= 1st digit\r<BR>\n" );
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document.write( "In the first case, there is one solution---450 (a multiple of 150, ends with 50, the sum is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B5%2B0=9 ALIGN=MIDDLE  ALT=\"4%2B5%2B0=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is divisible by 9.\r<BR>\n" );
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document.write( "In the second case, there is also one solution---90( amultiple of 150, ends with 00, and the sum of the digits is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2B0%2B0=9 ALIGN=MIDDLE  ALT=\"9%2B0%2B0=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is divisible by 9.\r<BR>\n" );
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document.write( "Therefore, your number maybe 450 or 900.\r<BR>\n" );
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document.write( "Power up,<BR>\n" );
document.write( "HyperBrain! </SPAN>\n" );
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