Average age of A and B is 30 years, that of B and C is 32 years and the average age of C and A is 34 years. The age of C is ?

A. 33 years
B. 34 years
C. 35 years
D. 36 years

STEP 1

(A+B)/2 =30

A+B=60

B=60-A  …………..(1)

STEP 2

(B+C)/2=32

B=64–C   ……………(2)

From (1) and (2)

60-A=64-C

C-A=64-60

C-A=4 …………..(3)

C+A/2=34 (given)

C+A=68 (4)

(4)+(3)

2C=72

C=36

Therefore the age of C is 36.