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1 Answer
- 1 decade agoFavorite Answer
2009
(9-2)^4 = 2401
(9-2)^3 = 343
(9-2)^2 = 49
2401-343-49 = 2009
a must be from 1-9 (if a=0 it would be a 3 digit number) and b,c,d must be from 0-9
if d-a = 5 or less then we would not end up with a 4 digit number
so d-a must be 6 or greater
the highest number d can be is 9 and the lowest number a can be is 1 so d-a can be no higher than 8
therefore d-a must be 6, 7, or 8
Fill in each of these numbers for d-a and you'll see that only 7 creates a solution.