Sets!

Among 100 applicants for a scientific job, it was discovered that ten had no qualification in either physics or chemistry.

83 had a physics qualification. 75 had a chemistry qualification.

How many applicants had qualifications in both physics and chemistry? How many in physics but not chemistry? How many in chemistry but not physics?

Fox and Hen

A hen and a fox have a combined age of 91.

The fox is now twice the age of the hen when the fox was as old as the hen is now.

How old are they?

(This puzzle found on the back of a beermat).