conditional expectation on uniform RV [closed]

Consider $X,Y,Z$ independently and identically distributed from uniform distribution $[0,1]$.

I am trying to solve for:

$E(X|X>Y)$.

$E(X|X>Y,X>Z)$.

I am just tyring to understand these simplace cases, so that I can extend to the case of finite $n$ IID uniform random variables, and when I take the limit.