I’VE FIGURED IT OUT.
In the Eleventh Hour, Rory’s badge reads:
Rory is 30ish during the Angels Take Manhattan episode.
He’s (presumably) sent back to 1938.
1990 - 1938 = 52 years, 52+30 = 82 years old
The date the badge was issued is the day he died.
Holy Mary, mother of fuck.
remember way back in 2006 when the wii first came out and then the entirety of the world forgot how to hold onto something with a firm grasp so much that nintendo had to make a shock absorbing condom just so that tvs wouldnt get destroyed when people would end up sending this thing flying at their tvs at 900 miles per hour