Q: Why are my wifes apps showing up on my phone?

Unfortunately we share the same iTunes account and have several devices. Lately, her new apps are showing up on my iPhone 5. I have not synced and I am not on the cloud, although she is. I am afraid if I delete the app from my phone it will delete it from the account. I don't understand how these are transferring to me with Cloud off on my phone and no sync.