The average of the ages of A and B is 25 years, that of B and C is 30 years and that of C and A is 32 years. The age of C (in years) is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 37.
(A + B)/2 = 25
A + B = 50
(B + C)/2 = 30
B + C = 60
(C + A)/2 = 32
C + A = 64
(A + B) + (B + C) + (C + A) = 50 + 60 + 64 = 174
2A + 2B + 2C = 174
A + B + C = 87
A + B = 50,
C = 87 − 50 = 37 years