The age of the person who entered the room is 19
The given parameters are:
Mean is calculated as:
Mean = Sum/Count
For the five people, we have
Sum/5 = 37
Multiply by 5
Sum = 185
For the five people, we have
Sum/6 = 34
Multiply by 6
Sum = 204
Let the last person be x
So, we have
x + 185 = 204
Subtract 185
x = 19
Hence, the age of the person who entered the room is 19
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