Two GMail Accounts work on iPad and Mini, not iPhone
I'm trying to configure my second GMail account on iPhone but it fails. It works on iPad Air and Mac Mini. Here are the details:
I have two GMail accounts. One is personal, the other is from a University (Google Apps for Education)
I have a Mac Mini (2014) running OS X 10.10.4: I can add both accounts.
I have an iPad Air running iOS 8.,4; I can add both accounts.
I have an iPhone 5s running iOS 8.4; I can only add one GMail account. When I try to add the second GMail account in Settings / Mail ... / Add Account / Google, I am asked to confirm "iOS would like to: (yada yada), but when I accept, I get a pop-up message that my Gmail account as already been added to your iPhone. I click OK; then check everywhere, and the account has NOT been added to the iPhone.
Same steps on iPad and iPhone, but it only works on iPad. Also, since I am not fond of the GMail app for iPhone,I don't want to use that. So why does it work on Mac Mini and iPad, but not on iPhone? I would also prefer to use the Google account configuration rather than the "Other" account configuration. I would prefer to solution rather than a workaround. Any ideas?
iPhone 5s, iOS 8.4, GMail