the average age of A and B is 20 years.if C were to replace A,the average would be 19 and if C were to replace B,the average would be 21.what are the ages of A,B,C?
Asked by karen sara | 20th Apr, 2014, 11:36: AM
Let x,y and z be the ages of A, B and C respectively.
Given that the average age of A and B is 20.
Given that the average age of B and C is 19.
Given that the average age of A and C is 21.
Substitute the value of y = 38 - z from equation (2) in equation (1), we have
Adding equations (3) and (4), we have
Thus, the ages of x, y and z are 22, 18, 20
And hence the correct option is (1).
Answered by | 20th Apr, 2014, 12:05: PM
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