Nine men went to a restaurant. Eight of them spent $6 each for their meals and the ninth man spent $4 more than the average expenditure of all nine men. What is the average expenditure?
The average age of a couple married four years ago was 25 years then. The average age of the family consisting of husband, wife and a child now is 20 years. What is the child’s present age?
The average age of Allen and Beth is 40 years. If Chris were to replace Allen, the average would be 38 years and if he were to replace Beth, the average would be 42 years. What are the ages of Allen, Beth and Chris respectively?
The captain of a certain team of 11 players is 25 years old and the vice captain is 3 years older. If the ages of these two players are excluded, the average age of the remaining players is 1 year less then the average age of the whole team. What is the average age of the whole team?
The Usual Method
Total age of captain and vice captain = 25 + (25 + 3) = 53 years.
Let the average age of all players be ‘x’ years.
Hence, total age of 11 players = 11x years
Hence, average age of the whole team = 22 years
Estimated Time to arrive at the answer = 45 seconds.
For 9 players, if the average age goes below by 1 year, the total reduction in age = 9 years. Since, the average age of the 9 players gets reduced due to not including the ages of captain and vice captain. Hence, the captain and vice captain’s age contribute to the reduction of 9 years. Total age of captain and vice captain = 25 + 28 = 53 years.
53 – 9 = 44 years will be the age of 2 players of the team. Hence, average age of the team = years
Estimated Time to arrive at the answer = 15 seconds.