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If 2257 is the result of subtracting 4577 from ... - JAMB Mathematics 1991 Question

If 2257 is the result of subtracting 4577 from 7056 in base n, find n
A
8\(\frac{17}{30}\)
B
9\(\frac{9}{10}\)
C
10\(\frac{1}{10}\)
D
11\(\frac{11}{36}\)
correct option: a
\(\begin{array}{c|c} 7056 \ \text{- 4577} \\hline 2257 \end{array}\)
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
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