This article is from the The Simpsons FAQ, by Ondre Lombard wakkojr@nospam.wcat.com and Andrew Gill superluser@mail.rit.edu with numerous contributions by others.
Contrary to strange developments in recent years, Homer is really 36, as
confirmed in 9F02, "Lisa the Beauty Queen." And since characters don't
age in the series, the LISA chooses to acknowledge his age as being 36, not
38 ("The Homer They Fall"), OR 39 ("The Wizard of Evergreen Terrace").
 
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