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

Mathematics
JAMB 1991

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

  • A. 8
  • B. 9
  • C. 10
  • D. 11
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Correct Answer: Option A
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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