Should the control cables for a 1997 Mercury 90 hp work on a 2002 Mercury 40 hp outboard?

I just purchased a pontoon boat with a 1997, 90HP, 2 stroke Mercury/Tracker outboard with a bad powerhead, that I'll probably just part out.

I've found a old fishing rig at a good price that has a running 2002, 40HP, 2 stroke Mercury/Tracker outboard that I am going to purchase mostly for the motor.

Should the controls already on the pontoon boat work with the smaller motor? or will I have to change the controls out?

I've only seen pictures of the 40HP, and they both have tilt/trim and the controls look real similiar... only the one on my pontoon has quicksilver stamped on it and the other doesn't (if that makes a difference).