The given arithmetic operation is correct in at least one number system. Determine the base in the operation 302/20=12.1

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The given arithmetic operation is correct in at least one number system. Determine the base in the operation 302/20=12.1

Tejasree 23rd Jan, 2019

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Answer (1)

Sandeep Sharma 30th Jan, 2019

Consider, 302 = 3b² + 0b + 2
20 = 2b + 0
12.1 = 1b + 2 + 1/b

Now,
(3b² + 2) / 2b = b + 2 + 1/b
3b² + 2 = 2b² + 4b + 2 [ multiplying by 2b ]
b² = 4b
So, b = 4
Therefore, base is 4.

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