ues 14 / 50:ReportMarks: +1-0The average score of girls in a class 'X' examination in a school is 73 and that of boys is 71.The average score is class X of that school is 71.8.Find the percentage of the number of girls and boys in a class x of the school:40% and 60%30% and 60%20% and 40%40% and 80%

To solve this problem, we need to use the formula for a weighted average. The weighted average is given by:

(weight1 * value1 + weight2 * value2) / (weight1 + weight2)

Here, the weights are the number of girls and boys, and the values are their respective average scores. We know that the overall average score is 71.8, the average score for girls is 73, and the average score for boys is 71. We can set up the following equation:

(73 * girls + 71 * boys) / (girls + boys) = 71.8

We don't know the exact number of girls and boys, but we can express the number of boys in terms of the number of girls. Let's say that the number of girls is g and the number of boys is b. Then we can write:

b = total students - g

Substituting this into our equation gives:

(73 * g + 71 * (total students - g)) / total students = 71.8

Solving this equation for g gives the number of girls. Then, the number of boys is total students - g. Finally, we can calculate the percentages by dividing the number of girls and boys by the total number of students and multiplying by 100.

Without the total number of students, we can't solve this problem.