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A class has 130 students The average age of girls is 14. The average age of boys is 18. The average age of top 20 scorers is 17. What is the average age of the last 110 scorers if there are 70 boys in the class?

A class has 130 students The average age of girls is 14. The average age of boys is 18. The average age of top 20 scorers is 17. What is the average age of the last 110 scorers if there are 70 boys in the class? Correct Answer 16

Let the number of girls be g and the number of boys be 130 – g.

There are 70 boys in the class.

∴ g = 60

Average age of class = /130 = /130

/130 = (840 + 1260)/130 = 2100/130 = 210/13

Let the average age of the last 110 scorers be x.

210/13 = /130

⇒ 2100 = 340 + 110x

⇒ 110x = 1760

⇒ X = 176/11 = 16

Hence, the average age of the last 110 scorers is 16.

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