Question

3 of 8 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

10

Explanation:

The mean is the sum of terms divided by number of terms.

Let x be the age of the person who entered the room.

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

(x + 86)/6 = 16

x + 86 = 96

x = 10

The age of the person who entered the room is 10.

Answer 2

`\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