Question

The average age of a group of boys is 18years while that of girls is 16 years.The average age of the class is 16.4 years. Find the maximum number of boys in the class given that the strength of the class is a two digit number.

Answer 1

Dear Student,

● Answer -

19 boys

◆ Explanation -

Given that the strength of the class is a two digit number. So maximum strength of class can be 99. Let x he no of boys, so no of girls will be 99-x.

Average age of class is 16.4 so,

[x×18 + (99-x)×16] / 99 = 16.4

18x + 1584 - 16x = 16.4 × 99

2x = 1623.6 - 1584

2x = 39.6

x = 39.6/2

x = 19.8

But no of boys can't be a fraction, so maximum no of boys in class can be 19 only.

Thanks dear...