Who should pay for repairs?

[Hark Tukay]

We have a tenant moving out and when I went to show the property to a prospective new client I noticed that their was water damage to the ceiling of our LR and several tiles in the kitchen had popped out. Both had been damaged for a while. Is there any recourse to get the tenants to pay for the repairs for either since they did not report them in a timely manner? As of now they refuse to accept responsibility for the issues. I want to be fair but I also do not want to pau for repairs due to their negligence. Please help!