document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208720>Question 208720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Each of the integers h,m and n is divisible by 3. which of the following integers is always dividing by 9?\r<BR>\n" );
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document.write( "I. hm<BR>\n" );
document.write( "II. h + m<BR>\n" );
document.write( "III. h + m + n<BR>\n" );
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document.write( "(A) I only   (B) II only   (C) III only   (D) II and III only (E) I,II and III </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158429 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=158429\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x,y,z be integers<BR>\n" );
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document.write( "let h=3x,,,m=3y,,,n=3z<BR>\n" );
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document.write( "hm = (3x)(3y) = 9xy,,,,,therefore  divisible  by  9<BR>\n" );
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document.write( "h+m = 3x +3y=3(x+y),,,,,,therefore  not  necessarily divisible  by  9(only3*3,3*6,3*9,etc)<BR>\n" );
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document.write( "h+m+n= 3x+3y+3z =3(x+y+z) ,,,,therefore  not  necessarily  divisible  by  9(only3*3,3*6,3*9,etc)<BR>\n" );
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document.write( "Therefore  only  (a) is  correct  answer<BR>\n" );
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