JAMB - Mathematics (1991 - No. 2)

If 2257 is the result of subtracting 4577 from 7056 in base n, find n
8
9
10
11

Explanation

\(\begin{array}{c|c} 7056 \\ \text{- 4577} \\\hline 2257 \end{array}\)
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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