document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017905>Question 1017905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 3(m+n) is even, then which of the following is also even?\r<BR>\n" );
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document.write( "a. m+n<BR>\n" );
document.write( "b. m<BR>\n" );
document.write( "c. n<BR>\n" );
document.write( "d. 3n+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #634116 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=634116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 3(m+n) is even, then which of the following is also even? <BR>\n" );
document.write( "a. m+n<BR>\n" );
document.write( "b. m<BR>\n" );
document.write( "c. n<BR>\n" );
document.write( "d. 3n+1<BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "One way of solving this problem is by substituting values to the variables.<BR>\n" );
document.write( "Select values for m and n such that 3(m+n) is an even number.<BR>\n" );
document.write( "Case 1: Both m and n are odd numbers.<BR>\n" );
document.write( "Suppose m = 1 and n = 5, then 3(1+5) = 18 is an even number.<BR>\n" );
document.write( "a) m + n = 1 + 5 = 6 (even)<BR>\n" );
document.write( "b) m = 1 (odd)<BR>\n" );
document.write( "c) n = 5 (odd)<BR>\n" );
document.write( "d) 3n + 1 = 3(5) + 1 = 16 (even)<BR>\n" );
document.write( "So b and c are eliminated from the given choices.<BR>\n" );
document.write( "Case 2: Both m and n are even numbers.<BR>\n" );
document.write( "Suppose m = 2 and n = 4, then 3(2+4) = 18 is an even number<BR>\n" );
document.write( "a) m + n = 2 + 4 = 6 (even)<BR>\n" );
document.write( "d) 3n  + 1 = 3(4) + 1 = 13 (odd).<BR>\n" );
document.write( "Therefore, the final answer is letter \"a\".<BR>\n" );
document.write( " </SPAN>\n" );
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