The average age of A and B is 25 years. If A is to be replaced by C, the average would be 22 years. The average age of C and A is 19 years. The ages of A, B and C in order (in years) are:
Answer & explanation
Correct answer: option 2
Average age of A and B is 25 years
A + B = 50 years ----- ( 1)
The average age of C and A is 19 years
C + A = 38 years ------ ( 2)
if A is replaced by C . then , average of B and C is 22 years.
B + C = 44 years ------ ( 3 )
adding equation, 1 + 2 + 3
A+ B + C = 66 years
( A + B + C ) - ( A + B ) = 66 - 50
C= 16 years
( A + B + C ) - ( B + C ) = 66 - 44
A = 22 years
( A + B + C ) - ( A + C ) = 66 - 38
B = 28 years
so the age of A , B and C is 22 , 28 , 16 years respectively .