The average age of 5 members of a family is 21. If the age of grandfather is included, the average age is increased by 9 years. What is the age of grandfather?

The average age of 5 members of a family is 21. If the age of grandfather is included, the average age is increased by 9 years. What is the age of grandfather?

Explanation

Initial average age of 5 members = 21

Total age of 5 members = 21 * 5 = 105

New average age with grandfather = 21 + 9 = 30

Total age of 6 members (including grandfather) = 30 * 6 = 180

Age of grandfather = Total age of 6 members - Total age of 5 members

= 180 - 105

= 75

The correct answer is 75.