Question

The mean age of 5 people in a room is 32 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?

Answer 1

Answer :-

The age of person who entered the room is 56 years.

Step-by-step explanation:

To Find :-

• The age of the person who entered the room.

★ Solution

Given that,

• The mean age of 5 people in a room is 32 years.

We know,

Mean = sum of the terms/number of terms.

Therefore,

⇒ 32 = sum of terms/5

⇒ 32 × 5 = sum of terms

⇒ 160 = sum of terms.

Now, According the question,

• Age of the person, who entered the room.

Using the mean formula:

Mean = sum of all terms/number of terms,

Assumption :-

Let us assume the person's age as (x) years,

⇒ 36 = (160 + x)/6

⇒ (160 + x)/6 = 36

⇒ (160 + x) = 36 × 6

⇒ 160 + x = 216

⇒ x = 216 - 160

⇒ x = 56

We got, The value of x as 56.

Hence,

The age of person is 56 years.