Inherit in this case is not like passing down property upon death, it's more like passing down genes upon conception. In other words, inheritance in OO programming is not like inheriting your mother's antique sofa, it's more like inheriting your mother's blue eyes.
I would use the term passed on (or perhaps passes along), as we say that certain characteristics can be passed on from generation to generation:
balance is inherited from the parent.
The parent class passes on the
There may be a better word for this, because parameters are also passed, but that's the first one that came to my mind, and it fits better than leave to this context.
NOAD lists this definition for pass:
pass (trans. verb) be transferred from one person or place to another, esp. by inheritance : infections can pass from mother to child at birth