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?

33 years

34 years

35 years

36 years

Average of A & B is

( A+B) /2 = 30 ⇒ A+B=60 ⇒ A= 60 – B —- (i)

( B+C)/2 = 64 ⇒B+C = 64 ⇒ B= 64 – C—- ( ii )

Putting value of B in equation ( i )

⇒ A= 60 – 64 +C ⇒ A = -4 + C —– ( iii)

( C+A)/2 = 34 ⇒ C+A=68 ⇒ C = 68 – A —–(iv)

Puuting value of A from eaquation ( iii) to eq. (iv)

⇒ C= 68 +4 -C ⇒ C =36