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

12.06.2025 11:28

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

It’s a matter of interpretation.

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)

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

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11010X

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

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

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and for binary would be

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

1234X

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