document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694287>Question 694287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a 3digit number in which the 2nd digit is the sum of the 1st and 3rd digit. Can you prove that the number is divisible by 11? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427826 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=427826\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Yes.<BR>\n" );
document.write( "As a matter of fact, that is the way to multiply a two digit number times 11.<BR>\n" );
document.write( "It is very easy, as long as the sum of those digits is less than 10.<BR>\n" );
document.write( "You just write the two digits, leaving some space in the middle, and then write the sum in that middle space.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = first (hundreds) digit<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = third (ones) digit<BR>\n" );
document.write( "Then, second (tens) digit = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bb%3C=9 ALIGN=MIDDLE  ALT=\"a%2Bb%3C=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and the value of the 3-digit number is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100a%2B10%28a%2Bb%29%2Bb=100a%2B10a%2B10b%2Bb=%28100a%2B10a%29%2B%2810b%2Bb%29=10a%2810%2B1%29%2Bb%2810%2B1%29=%2810a%29%2A11%2B11b=11%2810a%2Bb%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10a%2Bb ALIGN=MIDDLE  ALT=\"10a%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the 2-digit number with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a first (tens) digit and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a second (ones) digit.<BR>\n" );
document.write( "The 3-digit number in the problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" > times the two digit number ab.  </SPAN>\n" );
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