document.write( "Question 1063427: Each Letter in BENJAMIN represents one of the digits 1,2,3,4,5,6,7. Different letters represent different digits. The number BENJAMIN is odd and divisible by 3. Which digit corresponds to N. \n" ); document.write( "
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The sum of digits
\n" ); document.write( "B+E+N+J+A+M+I
\n" ); document.write( "contains all the digits listed, so it is
\n" ); document.write( "1+2+3+4+5+6+7=28
\n" ); document.write( "The sum of all digits is
\n" ); document.write( "28+N , and it must be a multiple of 3,
\n" ); document.write( "because the number BENJAMIN is a multiple of 3.
\n" ); document.write( "The only possibilities are
\n" ); document.write( "28+2=30 and 28+5=33 , so N=2 or N=5.
\n" ); document.write( "N, the last digit in BENJAMIN, must be odd,
\n" ); document.write( "because BENJAMIN is an odd number.
\n" ); document.write( "So, N=5.
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