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In a coaching institute in Mukherjee Nagar, there are 252 students, in which the ratio of boys and girls is 2 : 1. Some more girls are enrolled, and the number of girls become equal to that of the boys. The average age of all the students is now 22 years and the average age of boys is 2 years more than the average age of the girls. Find the average age of boys and girls.

In a coaching institute in Mukherjee Nagar, there are 252 students, in which the ratio of boys and girls is 2 : 1. Some more girls are enrolled, and the number of girls become equal to that of the boys. The average age of all the students is now 22 years and the average age of boys is 2 years more than the average age of the girls. Find the average age of boys and girls. Correct Answer 23, 21

It is given that the ratio of boys and girls is = 2 : 1

Let the number of boys is 2X and number of girls is X

⇒ 3X = 252

⇒ X = 84

Boys = 168, girls = 84

Let K girls enrolled later then ratio = 1 : 1

⇒ 168/(84 + K) = 1/1

⇒ K = 84

Now average,

/336 = 22    ----(1)

And it is given that,

Girls(168)/168 + 2 = boys(168)/168    ----(2)

By solving these two equations,

Girls(168) = 3528

Boys(168) = 3864

Average age of girls = 3528/168 = 21

Average age of boys = 3864/168 = 23

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