• Most successful child (son only, probably).

• To the (oldest if applicable) son in the case of having daughters and son(s).

One of the common inheritance customs was the one that we also find often today: every child gets a part of the inheritance, sometimes resticted to men. If you are interested, you can look into what happened in the Frankish kingdom/empire after the death of a ruler.

Can you specify your question to a specific age or region?