Question

The mean age of 3 women in an office is 27 years old.

The mean age of 6 men in an office is 34 years old.
What is the mean age (nearest year) of all the people in the office?

Answer 1

mean age of women

(x+y+z)/3=27

mean age of men

(x1+x2+x3+x4+x5+x6)/6=34

mean age of all people in the office

x+y+z=27*3=81

x1+...x6=34*6=204

so

mean age( x+y+z+x1+x2+..x6)/(3+6)=(27*3+34*6)/9

=(81+204)/9=285/9=32 approximately