One week ago was my birthday.
Being a mathematician, I note that if I write my age in Roman numerals, and you write your age in Roman numerals, then my age never appears before your age, alphabetically.
How old am I?
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Presuming you meant you’d write my age, not my name…
You are 38 years old.
38 = XXXVIII, which comes alphabetically after
37 = XXXVII (one fewer I)
39 = XXXIX (V comes after I)
40 = XL (L comes before X)
And nothing outside of the 30s begins with XXX, X being the furthest letter down the alphabet that appears in a Roman numeral (CDILMVX).
Oops… thanks for catching the typo, Jim. I’ve fixed it.