Question

The mean age of 5 people in a room is 33 years.
A person enters the room.
The mean age is now 33.
What is the age of the person who entered the room?

Answer 1

sum of their ages=33×5=165yrs

mean age after entering a person= 33×6=198yrs

age of new man = (198–165)yrs=33yrs

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Answer 2

Step-by-step explanation:

let,

$the \: \: age \: \: of \: \: person \: \: enterd \: \: into \: \: the \: \: room = y$

$the \: sum \: of\: \: ages \: \: of \: \: 5 \: \: people = \: x$

$\frac{x}{5} = 33$

$x = 33 \times 5$

$x = 165$

$\frac{x + y}{6} = 33$

$x + y = 33 \times 6$

$x + y = 198$

we know that x=165

$165 + y = 198$

$y = 33$

the age of the person enterd into the room =33