Question

A family consists of two grandparents, three parents and four grandchildren. The average age of the grand parents is 65 years, that of the parents is 32 years and that of the grand children is 8 years. What is the average age of the family?

• A. None of These
• B. 28 2/3 years
• C. 28 years
• D. 28 1/3 years

Answer 1

Answer:

B. 28 2/3 years

Solution: Given : Family has two grand parents, three parents and four children Average age of grand parents is 65 years Average age of parents is 32 years Average age of grand children is 8 years Calculations : Total age of two grand parents = 65 × 2 = 130 years Total age of three parents = 32 × 3 = 96 years Total age of grand children = 8 × 4 = 32 years Total family members = 2 + 3 + 4 = 9 Total age of family members = 130 + 96 + 32 = 258 years Average age of the family = (total age/total number of persons) ⇒ 258/9 ⇒ 28(2/3) ∴ The average age of family members = 28(2/3) years