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

A+B/2 =30 A+B=60 ……….. (i)
B+C/2 =32 B+C=64 …………(ii)
C+A/2 = 34 ⇒ C + A = 68 ….. (iii)
Subtract (i) and (ii)
A+ B = 60
A+B+C=+64
A-C=-4 ….. (iv)
A-C=-4 .. . (iv)
Add (iii) and (iv)
C +A= 68
A – C= – 4
2A= 64
A= 32
Put A = 32 in (iii)
C + 32 = 68
C = 68 – 32
C = 36

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