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( "
Algebra.Com's Answer #678515 by KMST(5328)![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( " |