Puzzle 53

In a room, there are 14 people who are blond and 8 people who are blue eyed. Five of these people are both blond and blue eyed. There are also two persons in the room, who are neither blond, nor blue eyed.

How many people are in the room?

 

Solution : 19 

There are 14 blonds and 8 blue eyed people. As 5 of these are both blonds and blue eyed, 

Number of blonds but not blue eyed = 14-5 =9

Number of blue eyed but not blond = 8 - 5 = 3

Number of blond, eyed people = 5

Number of people who are neither blond, nor blue eyed = 2

So total number of persons in the room = 9+3+5+2 =  19