In a company, the ratio of a number of male to female employees is 2 :...
The ratio of male to female employees in 2:3.
∴ Let the number of male employees in the company be 2x, and the number of female employees be 3x.
∴ Average weight of all employees = Sum of weights of all employees/Number of employees
⇒ W = (total weight of males + total weight of females)/5x
⇒ Total weight of males + total weight of females = 5Wx
Now, Average weight of males = Total weight of males/Number of males
∴ W + 15 = Total weight of males/2x
⇒ Total weight of males = 2x × (W + 15) = 2Wx + 30x
∴ total weight of females = 5Wx – (2Wx + 30x) = 3Wx – 30x
∴ Average weight of females = Total weight of females/number of females
⇒ Average weight of females = (3Wx – 30x)/3x = W – 10
Hence, the average weight of female employees is(W – 10)kgs