Question

The following are the ages (years) of 5 people in a room: 14, 14, 18, 18, 22 A person enters the room. The mean age of the 6 people is now 16. What is the age of the person who entered the room?

Answer 1

`\boxed{\sf \ \ age = 10\ \ }`

Explanation:

Hello,

let's write the mean computation, we note x the age of the additional person

`(14+14+18+18+22+x)/(6)=16`

`<=> 14+14+18+18+22+x = 6*16=96\\\\<=> x = 96 - ( 14+14+18+18+22)= 10`

So the age of the person is 10

hope this helps