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Given:
The mean age of 5 people in a room is 26 years.
A person enters the room. The mean age is now 33.
To find:
The age of the person who entered the room.
Solution:
Formula for mean:
The mean age of 5 people in a room is 26 years.
The mean age is now 33. It means, the mean age of 6 people is 33.
Now, the age of the person who entered the room is
Required age = Sum of ages of 6 people - Sum of ages of 5 people
=
=
Therefore, the age of the person who entered the room is 68 years.
Actually Welcome to the Concept of the Differential Calculus.
Since, we know this is a definite calculus,
thus we get here as, by using the Chain Rule.
