A question about a decreasing rate of a change in value over time

Question

I am running a role playing game for some friends. In it, there is a character who was born in 1943, and whose rate of aging is declining exponentially, so that by the time 80 years have passed, in 2023, that person only appears to have aged 15 years. At this exponential rate of decline, in what approximate year would that person's rate of aging fall below 1 Hour/Actual Year, and what would their apparent age appear to be?

Answer 1

15 = 80e^80k

Solve for k

A(t) = 80e^80k, using k from above

A'(t) < 1, solve for t

Use t to determine age.