document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=974852>Question 974852</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Still don't understand\r<BR>\n" );
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document.write( "The 14 digits of a credit card are written in the boxes shown. If the sum of any three consecutive digits is 16, what is the value of A? A _ 4 _ _ _ _ _ _ _ _ 4 _ 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #596731 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=596731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The 14 digits of a credit card are written in the boxes shown. <BR>\n" );
document.write( "If the sum of any three consecutive digits is 16, what is the value of A? <BR>\n" );
document.write( "A _ 4 _ _ _ _ _ _ _ _ 4 _ 9\r<BR>\n" );
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document.write( "Since any three consecutive digits (in other words, 3 in a row) must add up to 16, start with the last three numbers.<BR>\n" );
document.write( "We have 4 + 'blank' + 9 = 16, so the number in the blank must be 3.<BR>\n" );
document.write( "Now we work backwards from there. We have blank + 3 + 4 = 16, so 'blank' must be 9.<BR>\n" );
document.write( "If we keep working backwards, we see that the pattern 439 repeats. So the digits are A_439439439439, which means 'blank' must be 9 and therefore A=3 </SPAN>\n" );
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