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

Question

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

Options

A) 8$$\frac{17}{30}$$

B) 9$$\frac{9}{10}$$

C) 10$$\frac{1}{10}$$

D) 11$$\frac{11}{36}$$

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

Dicussion (1)

• $$\begin{array}{c|c} 7056 \\ \text{- 4577} \\\hline 2257 \end{array}$$
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