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Long division with zero to nine substitution

  1. Aug 21, 2008 #1
    Substitute the letters by a different digit from 0 to 9 to satisfy this cryptarithmic long division problem.

    .............N K T
    ......-------------------
    F A R |...F R M N K B
    ............A K K N
    .......---------------------
    .............. A B I K
    ...............AM O K
    ...........---------------
    ..................R T I B
    ..................R A K T
    ...........-------------
    .....................R A F

    Note:

    (i) None of F, N, A and R can be 0.

    (ii) All the dots are posited with a view to facilitate the formatting, and none of the said dots represent decimal points, or correspond to any arithmetic operations.
     
  2. jcsd
  3. Aug 21, 2008 #2
    Actually, I think that as long as you state that none of the letters represent the *same* digit, you don't need to give the hint about which ones aren't 0. Figuring out which is 0 is pretty simple.

    A = 2
    B = 7
    F = 3
    I = 0
    K = 8
    M = 5
    N = 9
    O = 6
    R = 1
    T = 4

    DaveE
     
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