SOLUTION: 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 corre

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.
Found 3 solutions by stanbon, KMST, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
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.
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If N is odd and divisible by 3, N can only be 3
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Cheers,
Stan H.
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Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
The sum of digits
B+E+N+J+A+M+I
contains all the digits listed, so it is
1+2+3+4+5+6+7=28
The sum of all digits is
28+N , and it must be a multiple of 3,
because the number BENJAMIN is a multiple of 3.
The only possibilities are
28+2=30 and 28+5=33 , so N=2 or N=5.
N, the last digit in BENJAMIN, must be odd,
because BENJAMIN is an odd number.
So, N=5.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

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.

Only 2 digits can be repeated to get a number that's DIVISIBLE by 3, and those are 3 and 5. However, it CANNOT be 2 since the number would then be EVEN.
Therefore, the ONLY number N can be is:
FYI: It can NEVER be 3.
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