I think we can make an educated guess for Kaigaku's age in Kny. We already know he's older than Zenitsu but you gotta look at Kimetsu Gauken. Both Gyutaro and Akaza are third years and both are cannonically confirmed to be 18
Kaigaku is also a third year which is a few years older than Zenitsu who's confirmed first year
So that means he'd be the same age range as Akaza and Gyutaro 18-19.

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