Question

The following are the ages (years) of 5 people in a room: 25, 22, 13, 14, 21 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?

Answer 1

Step-by-step explanation:

Since 5 people have a mean age of 30, the sum of their ages is 5⋅30=150. Adding one more person of age 36 to the group gives 6 people with sum of ages 150+36=186. Now divide this by 6 to get the new mean for the group of 6 people: 1866=31 years.

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Answer 2

Step-by-step explanation:

let 6th person age is x

(25+22+13+14+21+×)/6=22

(95+×)/6=22

95+×=22×6

95+×=132

×=132-95

×=37

6th person age is 37

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25+22+13+14+21+37=132

132/6=22

the mean age of six persons is 22