The 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?

  1. 33 years
  2. 34 years
  3. 35 years
  4. 36 years

As Average age of a and b is 30 years

=> ( a + b ) / 2 = 30

=> a + b = 60    –eq(1)

As Average age of b and c is 32 years

=> ( b + c )/ 2 = 32

=> b + c = 64   –eq(2)

As Average age of c and a is 34 years

=> (c + a) /2 = 34

=> c + a = 68   –eq(3)

by equaction 2

b + c= 64

=> b = 64 -c

using –1

a+ (64 – c ) = 60

=> a = c – 4

using 3

(c – 4) + c = 68

=> c = 72/2 = 36

Hence age of c= 36 years.

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