If 2257 is the result of subtracting 4577 from 7056 in base n, find n
A
8
B
9
C
10
D
11
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\begin{array}{c|c} 7056 \\ \text{- 4577} \\\hline 2257 \end{array}\)
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
Source: Myschool Past Questions Archive (Record #31370)