Is the final temperature of a solution affected by the order of mixing components? For example, I have two beakers each containing water. One is at 90 $^{\circ}$C and one is at 10 ${^\circ}$C.

Will the final temperature of the solution I make from mixing the two components be different if I slowly poured the 90 ${^\circ}$C water into the 10 ${^\circ}$C water and vice versa?
Temperature is a so-called state function:


  In thermodynamics, a state function or function of state is a function defined for a system relating several state variables or state quantities that depends only on the current equilibrium state of the system. State functions do not depend on the path by which the system arrived at its present state. A state function describes the equilibrium state of a system.


The final temperature of your system does not depend on how the system got there (order of mixing, for example).