### Question

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

A. 45

B. 60

C. 15

D. 30

**Answer:** A

**Solution:**

Originally, let number of women = x.

Then, number of men = 2x.

So, in city Y, we have : (2x – 10) = (x + 5) or x = 15.

∴ Total number of passengers in the beginning = (x + 2x)

= 3x

**= 45**