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What is the sum of X+XX+XXX+XXXX?

12.06.2025 00:02

What is the sum of X+XX+XXX+XXXX?

Given the use of upper case, I personally would initially assume Roman numerals*, so the answer would be C (100 in present-day decimal notation)

11010X

However, X +X^2 +X^3 + X^4 is a valid algebraic answer,

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and for binary would be

*Note that the abbreviation XL (for XXXX) appeared quite late in the Roman period, and never found universal favour

as would be assuming that these are representations of conventional numbers, in which case the answer for number bases of five or more would be

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1234X

It’s a matter of interpretation.

What is the sum of X+XX+XXX+XXXX?

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