Date Plum(Dioaspyros lotus) trees? A wild guess,but they both look like various fruit trees. The first definitely has the bark and thorns of various stone fruits.

I would agree, looks like a plum of some sort.

Stone fruit. The second might be a plum, but the first is either a peach or an interspecific (pluot, aprium, yadda, yadda, yadda).

They also are in need of pruning.

Its not a Peach. They are of the long thin slightly curved leafs. That trunk reminds me of stone fruits of my youth. Cherry's ,Plums,Apricots. The leafs are the puzzle.

I take it Kumar you just bought this home? Post fruit harvest?