Question

A bus starts from city $X$. The number of women in the bus is half of the number of men. In city $Y$, $10$ men leave the bus and five women enter. Now, number of men and women is equal. In the beginning, how many passengers entered the bus?

• A. $15$
• B. $30$
• C. $36$
• D. $45$

Answer 1

The correct option is D $45$

Originally, let number of women $=x$. Then, number of men $=2x$.
So, in city $Y$, we have : $(2x-10)=(x+5)$ or $x=15$.
Therefore Total number of passengers in the beginning $=(x+2x)=3x=45$.