Question

A family of five people has average age equal to 50 years in 2010. In 2015 the eldest person in the family died and at the same time a new baby was born. Later, in 2019 the average age of family is 45 years. What would have been the age of the eldest person of the family in 2019, had he been alive?

• A. 72 years
• B. 75 years
• C. 68 years
• D. 74 years

Answer 1

Answer:

D. 74 years

If no member had died and no new member had joined the family, the average age in 2019 = 50 + 9 = 59 years. But it is 45 years. The average age decreased by 14 years (59 - 45) decrease in the total age of family = 5× 14 = 70 years The age of baby in 2019 = 4 years age of eldest man had been alive is 70 + 4 = 74 years