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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?

User Stett
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2 Answers

1 vote

Answer:

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.

User Yahoo Serious
by
8.4k points
1 vote

Answer:


\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

User Plaetzchen
by
8.0k points

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