A family consists of two grandparents two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family? (a) 28 (4/7) years (b) 31 (5/7) years (c) 32 (1/7) years (d) None of these

Required average = (67 x 2 + 35 x 2 + 6 x 3)/ (2 + 2 + 3)

= (134 + 70 + 18)/7

= 222/7

= 31 (5/7) years

Hence, the average age of the family is 31 (5/7) years

So, the correct option is (b)

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