document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207356>Question 1207356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 9-digit number 2018A902B is divisible by 144, find the value of A+B </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845177 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=845177\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 9-digit number 2018A902B is divisible by 144, find the value of A+B\r<BR>\n" );
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document.write( "16*9 =144<BR>\n" );
document.write( "the number should be divisible by 16 and 9\r<BR>\n" );
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document.write( "Divisibility test for 16<BR>\n" );
document.write( "The number has 9 digits\r<BR>\n" );
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document.write( "the last 4 digits of the number should be divisible by 16 \r<BR>\n" );
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document.write( "902B  is divisible by 16 if B = 4 \r<BR>\n" );
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document.write( "if number is divisible by 9 then sum of digits must be 9<BR>\n" );
document.write( "plug 4 in B\r<BR>\n" );
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document.write( "2018A9024<BR>\n" );
document.write( "sum should be 9\r<BR>\n" );
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document.write( "The above number sum of digits is 26+A    ( 9*3=27)<BR>\n" );
document.write( "So A =1\r<BR>\n" );
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document.write( "A=1 B=4\r<BR>\n" );
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document.write( "A+B = 5<BR>\n" );
document.write( "The number is \r<BR>\n" );
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document.write( "201819024  \r<BR>\n" );
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document.write( "201819024  /144 =1401521\r<BR>\n" );
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document.write( "It works\r<BR>\n" );
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document.write( " </SPAN>\n" );
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