Problem of the Week

A census-taker asked a hotel owner, “You have reported that you own 5 hotels, and that all the hotels together have a total of 100 rooms.  How many rooms are in each hotel?” 

The owner replied,

“Hotels 1 and 2 together contain 52 rooms.

Hotels 2 and 3 together contain 43 rooms.

Hotels 3 and 4 together contain 34 rooms.

And hotels 4 and 5 together contain 30 rooms.”

“Thanks,” said the census-taker.  “That gives me all the information I needed.”  How many rooms are in each hotel?