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It's never stated directly, but my best guess is about 100 years.

It is implied that wizards living to 120 are not uncommon. Dumbledore died when he was 118, and despite his age, he wasnt nearing an old age death yet. Elphias Doge was the same age as Dumbledore, and Grizelda Marchbanks, a member of the Wizarding Examination Authority (to test students for O.W.L.s and N.E.W.T.s) is likely at least 20+ years older than Dumbledore, as she remembers testing Dumbledore herself in charms and transfiguration when he was a student.

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