In a team of seven members, the average age of six of the members is 42 years while the age of the seventh member of the team is 36 years more than the average age of all the seven members taken together. Find the age (in years) of the seventh member of the team.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 84.
Let the average age of all seven members = x years
The total age of the first six members = 6 × 42 = 252 years
The age of the seventh member = x + 36 years
So, 252 + (x + 36) = 7x
⇒ 288 + x = 7x
⇒ 6x = 288
⇒ x = 288/6 = 48
⇒ x + 36 = 48 + 36 = 84
Therefore, the age of the seventh member is 84 years.