I just recently got a 700 & 750 code on my 2006 Ram 1500 sport 2wd. It has a 5.7l hemi in it and according to the symptoms and everything I've read so far it looks like I need to replace the shift solenoid A. I want to order a solenoid/throttle body for it but I cant verify (even posting the right numbers off the side of the transmission) online which transmission I actually have in the truck. Can anyone help me with this. Also I noticed after checking the fluid (and it is good in color and smell) it was low so I topped it off and I have a whirring sound when in Park or Neutral. its not super bad but its annoying and if anyone has any suggestions what it could be please tell me. I think it might be the torque converter but I am hoping I am wrong and its just that solenoid/throttlebody causing some other issues. Plus it more than likely needs a new filter and fluids considering I bought this truck a few months ago and have no idea when the last time anyone did anything like that. The whirring noise just showed up after I put fluid in it btw. So its a new thing.

Tag number from Trans

 

Welcome to DF! Moving this to Third Gen Ram section for ya.

You can get a build sheet for your truck from here. That will tell you which transmission you have.