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

12.06.2025 06:13

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

1234X

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)

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

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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

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

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11010X

It’s a matter of interpretation.

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

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