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18 votes
18 votes
The following are the ages (years) of 5 people in a room: 16, 25, 23, 12, 17 A person enters the room. The mean age of the 6 people is now 20. What is the age of the person who entered the room?

User Christopher Cook
by
3.3k points

2 Answers

22 votes
22 votes

Answer:

27 years old

Explanation:

There are originally 5 people in the room.

Their ages are: 16, 25, 23, 12, 17

The sum of their ages is: 93

One person enters the room. That person's age is unknown, so we call it x.

The sum of the ages of the 6 people is:

x + 93

There are 6 people in the room now, so the mean age is (total age divided by number of people):

(x + 93)/6

We are told the mean age is 20.

(x + 93)/6 = 20

x + 93 = 120

x = 27

Answer: 27 years old

User Ladji
by
3.5k points
26 votes
26 votes

Answer: 27

Explanation:

  • Set the age of the person who entered the room as x


Mean=(16 + 25 + 23 + 12 + 17 + x)/(6)=20 \\16 + 25 + 23 + 12 + 17 + x=20(6)\\93+x=120\\x=120-93=27

User Maxim Palenov
by
3.1k points