Nice weather

Algebra Level 3

During a certain period of days in Cucumberland recently it was observed that when it rained in the afternoon, it had been clear in the morning, and when it rained in the morning, it was clear in the afternoon. (In a given morning or afternoon, it is either raining or it is clear.) It rained on \(100\) days, and was clear on \(19\) afternoons and \(95\) mornings.

How many days were there altogether?

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