In a working group of a class project, the number of boys is 3 fewer than twice the number of girls. If one boy were replaced by a girl, there would be an equal number of boys and girls in the group. How many students are in the class?

Question

Accepted Answer

সঠিক উত্তর: । ব্যাখ্যা: Let the number of girls be $x$. Number of boys is $2x-3$. If one boy is replaced by a girl, new number of boys is $2x-3-1 = 2x-4$ and new number of girls is $x+1$. Since the numbers are equal: $2x-4 = x+1 \Rightarrow x = 5$. Number of girls is 5, number of boys is $2(5)-3=7$. Total students $5+7=12$.