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?

Options

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

Answer

D

Explanation

Initially, let the number of men = x.
Then, the number of women = `x/2`
According to the question
In city y, we have : `(x – 10) = (x/2 + 5) `
or `x -x/2 = 10 + 5 = 15`
or `, x/2 = 15 or, x = 30`
So, the number of men = 30 and the number of women = `x/2 = 30/2 = 15`.
Therefore, total number of passengers in the beginning = `(x + x/2) = (30 + 15) = 45.`