Problem with app store account

Awhile ago I was having problems logging into my app store account I couldn't log in. I requested my password be sent to me, but I never recieved the email so I went to make a new account. What I did was essentially make the exact same account I had previously, same email and password. But now when I go to update apps, it tells me my password is incorrect for any app that I downloaded before I changed my account. Any apps I've downloaded after this problem occurred update fine. Is there any way I can somehow transfer these other apps to my 'new' account so I'm able to update, or find a new way to update them? I tried updating them through my computer, but it says there are no updates, and I'd have to switch to my 'old' account to update the apps I had downloaded.