Question
Average age of company A is 21 years and average age of
both companies A and B is 13 years. If the ratio of number of employees in company A and B is 3:8, then what is the average age of company B?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.
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