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 age of A, B and C? Select the correct option:  A) 22, 18, 20  B) 20, 20, 18  C) 18, 22, 20  D) 21, 20, 19  E) None of the above
Given 22, 18, 20 + B = 40…(i)   C + B = 38 … (ii)   22, 18, 20 + C = 42…(iii)   (i) + (ii) + (iii) ⇒ 22, 18, 20 + B + C = 60 …(iv)   from (i) and (iv), we get   C = 20 years   ∴ B = 18 years and 22, 18, 20 = 22 years   22, 18, 20nswer 22, 18, 20
<result>A</result>
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 age of A, B and C?