Question

The following are the ages (years) of 5 people in a room: 13 , 22 , 15 , 14 , 15 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

17

Explanation:

the mean is calculated as

mean =
`(sum)/(count)`

let x be the age of the person entering the room, then sum of 6 is

sum = 13 + 22 + 15 + 14 + 15 + x = 79 + x

`(79+x)/(6)` = 16 ( multiply both sides by 6 to clear the fraction )

79 + x = 96 ( subtract 79 from both sides )

x = 17

the age of the person who entered the room is 17

Answer 2

17

Explanation:

Add up the values (13, 22, 15, 15, 14) and subtract from the product of 16 and 6