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Shkiper50 [21]
3 years ago
12

The following are the ages (years) of 5 people in a room: 25, 18, 17, 13, 24 A person enters the room. The mean age of the 6 peo

ple is now 22. What is the age of the person who entered the room?
Mathematics
1 answer:
insens350 [35]3 years ago
4 0

Answer:

See Below:

Step-by-step explanation:

Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.

22= (25+18+17+13+24+x)/6

Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.

22 = (25+18+17+13+24+x)/6     Multiply both sides by 6

132= 97+ x  Subtract 97 from both sides.

35 = x

The person who just entered the room is 35 years old.

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Answer:

x=75

Step-by-step explanation:

We can use proportions to solve this problem.  Put the side of the small triangle over the side of the large triangle.

42           50

------ = ----------

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Using cross products

42(50+x) = 50*(105)

2100+42x = 5250

Subtract 2100 from each side

2100-2100+42x = 5250-2100

42x =3150

Divide by 42

42x/42 = 3150/42

x = 75


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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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