The following are the ages (years) of 5 people in a room: 25, 18, 17, 13, 24 A person enters the room. The mean age of the 6 people is now 22. What is the age of the person who entered the room?

See Below:

Step-by-step explanation:

Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.

22 = (25+18+17+13+24+x) / 6

Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.

22 = (25+18+17+13+24+x) / 6 Multiply both sides by 6

132 = 97 + x Subtract 97 from both sides.

35 = x

The person who just entered the room is 35 years old.