Average age of company A is 21 years and average age of

Solution

Given Data: Average age of company A = 21 years Average age of both companies A and B = 13 years Ratio of employees in A : B = 3:8 Assume Number of Employees Let = Employees in A = 3x and Employees in B = 8x Find Total Age Contributions Total age sum of A = 21×3x=63x Total age sum of B = y×8x (where y is the average age of B) The combined average formula is:

Solve for y Multiply both sides by 11x:

63x+8xy = 143x Cancel x: 63+8y = 143 8y = 80 y = 10 The average age of company B is 10 years.