Can you breed a 3 year old male rat with a 2 year old female rat?
It doesn’t matter how old the male is, but it matters how old the female is. Your female rat is too old to have babies. If your female rat does have babies at that age it can lead to death of some babies or something wrong with them and for the mom it can lead to death she’s too old she might die if she has babies. A 2 year old rat is around the human age of 50 and if she has babies she might not really be able to take care of them and walk.
It depends on why you would like to breed. If you are breeding for pets for yourself or others then the answer is complicated. Ideally you would WANT to breed from older males since you would want to breed for longevity. You would want to breed from mid-life span females since both younger and older females may have trouble with the birthing process. However, you probably do not want to breed from this particular male rat that you “just got” unless you know its health history. You obviously do not want to breed from the females since you don’t even know how old they are. Before you breed you want to know that your rat is resistant to respiratory disease, does not have sensitive allergies, and is not prone to other problems. Of course, you also want to breed for friendliness. This is how you get better rats (though of course there are no guarantees). Otherwise, there are more than enough rats in the world. If you want a pet rat of a certain breed, gender, size or personality there are M