If 2257 is the result of subtracting 4577 from 7056 in base n, find n

If 2257 is the result of subtracting 4577 from 7056 in base n, find n

Answer Details

$\begin{array}{c}7056\\ \text{- 4577}\\ 2257\end{array}$
By trial and error method
Let the base to 8
i.e. Let n = 8 and it is easily verified that the subtraction holds.
The subtraction does not hold when other values of n are tried
n = 8