a post about the gallifrey characters ages (at the start of the series) because it's been long enough since i've gone down this rabbit hole, so i'm doing it again
Leela: 50-100, we don't really know leela's age when she starts traveling with the doctor, but going off of loiuse jamesons age when she started playing her, mid 20s is a good guess, and we know that she spent at least 25 years on gallifrey married to andred (although, idk how i feel about that being the amount of time, given more time clearly passes for romana and the doctor, and the assumption is that the same amount of time is passing on gallifrey, if we go off that, she would be a few hundred years old at this point)
Romana: 400-500, we know that she's around 600 years younger than the doctor, and that the doctor is around 1000 by the time of his regeneration into the eighth doctor, then there's the undetermined amount of time between his regeneration and zagreus, so i'm giving about a 100 year buffer
Narvin: 600-900, as you may already know, this is the one that always trips me up when thinking about the ages of these characters because we don't really have much information on his age, i think the only actual number we get is that he's over 200 (but that number was in reference to cia training, so clearly he's a good bit older than that), we do know a few things though a) narvin by the time of the time war is older than his father was when he died, and we are told his father died relatively young, this isn't the most helpful since we don't know exactly how much time has passed over the course of the series or what is considered a young age for a time lord to die, it does point towards him not being too old since this is said during the time war, so presumably he is not older than his father was at the beginning of the series b) it's commented on a few times that this regeneration is wearing thin, which means that he's at least lived long enough in this body for it to seem appropriate for him to regenerate (not that he can anymore), but there are two factors to this that could possibly make it a little complicated 1) we don't actually know what regeneration he is on and 2) it's possible that due to his job and the risks associated with it, if he isn't on his first regeneration his first death happened pretty early in his life (though based on the way he talks about events in his past, i'm inclined to believe he's on his first, and i also like how that works with his whole can't regenerate thing), and, again given his job, it's expected that he keep up a young body rather than letting his current one age until the point of regeneration
and finally c) erasure, for the sake of this, i'm going to be assuming that narvin and the doctor here are both contemporary to each other, there's a relatively narrow span of time that erasure can take place in (after romana's departure and before the doctor's regeneration), this is at most a few years, which individual years don't matter too much in the scheme of time lord lifespans, anyway, for the sake of having a nice round number, lets say that at this point, romana is 200 (that'll either be relevant later, or i'll delete that bit and you won't have known it was there), we've already established that cia training takes 200 years (i'm choosing to believe that this means 100 years at the academy and 100 years in proper cia training) (also according to the inquiry he didn't seem to go straight from the academy to the cia, but there's really no way of telling how much time passed between the two, though iirc in later episodes it's implied that he wanted to join the cia when he was younger, so i can't imagine it's too much time), but by this point narvin has reached the rank of sub-coordinator, so he can't be that new to the cia, but he also says that he hasn't left gallifrey before this, while also saying that this mission would be better suited for a junior agent, if we take this to mean that junior agents are typically sent out for relatively simple field missions we can assume that narvin didn't spend much time as a junior agent if he never had to do that. i tried to figure out how long it would take him to get to this rank by figuring out how long it took vansell to become coordinator, but i don't really know if we have a timeline on that, we do know that he was coordinator by the fourth doctors time and while narvin was a cia cadet, so not entirely helpful. this is the point at which the numbers start to get a bit wibbly wobbly, because we can say he's at least 200 years old at this point, but we don't really know how long it took him to reach the rank of sub-coordinator in the cia, i'm inclined to say around 100 years given the above thing about not having left gallifrey, which would make him around 200 years older than romana, making him around 600 at the start of the series, but we also know that there was the whole project alpha thing, so that adds some time (50ish years???), and it's possible that he did spend longer in the cia before this point, so adding on another hundred years or so wouldn't be out of the question
Brax: 1000-2000, he definitely has the biggest age range out of these four, and honestly i could see him being a bit older, but this is what i'm gonna go with (i do lean more towards the 2000 end of this range though), so we have him being the doctors older brother to go off of, and with the doctor being a bit older than 1000 by zagreus, that would mean that brax is at least older than that, we also know that by romana's time at the academy he is pretty well established in time lord society, but has not yet started his political career, we don't know exactly how long he was an academy tutor for or how long it takes to get become a cardinal, but i'd say a few hundred years at least for each is a reasonable assumption, he also, of course, has had the time in between those things to build up his collection