document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1112233>Question 1112233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number 2581953764 is written on a strip of paper. Ana cuts the strip<BR>\n" );
document.write( "twice and gets three numbers. Then she adds these 3 numbers. What is the<BR>\n" );
document.write( "smallest possible sum she can get?<BR>\n" );
document.write( "A 2675<BR>\n" );
document.write( "B 2975<BR>\n" );
document.write( "C 2978<BR>\n" );
document.write( "D 4217<BR>\n" );
document.write( "E 4298 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #727269 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=727269\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number 2581953764 has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > digits.<BR>\n" );
document.write( "It cannot be split to produce three 3-digit numbers,<BR>\n" );
document.write( "because that would add up to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3digits=9digits ALIGN=MIDDLE  ALT=\"3%2A3digits=9digits\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "To make the smallest possible sum, of the three split numbers,<BR>\n" );
document.write( "one must be a 4-digit number and the other two must be 3-digit numbers.<BR>\n" );
document.write( "The smallest 4-digit numbers we can cut out of 2581953764<BR>\n" );
document.write( "are the ones that start with the smallest digits:<BR>\n" );
document.write( "2581, 1953, and 3764.<BR>\n" );
document.write( "The resulting sums are<BR>\n" );
document.write( "for 2581, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2581%2B953%2B764=4298 ALIGN=MIDDLE  ALT=\"2581%2B953%2B764=4298\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "for 1953, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=258%2B1953%2B764=2975 ALIGN=MIDDLE  ALT=\"258%2B1953%2B764=2975\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and for 3764, we know the sum will be more than 3764 and more than 2975.<BR>\n" );
document.write( "So, the winner is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282975%29 ALIGN=MIDDLE  ALT=\"highlight%282975%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "PS Let me know if I missed something, and I am embarrassingly wrong.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );