Question

. 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​

Answer 1

≡QUESTION≡

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​

                                                         

║⊕ANSWER⊕║

Let the ages of A, B and C be x, y and z respectively.

GIVEN

$\frac{x+y}{2} = 30$

$=> x + y = 60$ ----(1)

$\frac{y+z}{2}= 32$

$=> y + z = 64$ ---- (2)

$\frac{x+z}{2} = 34$

$=> x+z= 68$ --- (3)

Solving (1), (2) and (3), we get,

z = 3 years

∴ Age of C = 36 years

Option D