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5 votes

543_(x) = 244_(x) + 255_(x) \: find \: the \: value \: of \: base \: x

find the value of base x​

User RobinJ
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1 Answer

5 votes

9514 1404 393

Answer:

x = 6

Explanation:

The place values of the digits from left to right are b^2, b, 1.

The units digits have a sum of 9, but that is represented in these numbers by a units digit of 3 and a "b" digit of 1.

9 will be represented by b +3 when b = 6

The base of these numbers is 6.

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Additional comment

Translated to decimal, the sum is 207 = 100 + 107.

User Marten Koetsier
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4.4k points