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?

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Question:

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?

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Answer: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 6132= 97+ x  Subtract 97 from both sides.35 = xThe person who just entered the room is 35 years old.

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