Question

A busstarts from city X. The number of womenin 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. 15
• B. 30
• C. 36
• D. 45

Answer 1

Answer: (D)

45

Answer 2

Let initially the number of women be $w$. hence, the number of men in the bus be $2w$.
At stop Y, 5 women board while 10 men leave,
Then,
$w+5 = 2w - 10$
$⇒ w = 15$
Thus, the total number of passengers at the beginning of the day,
$w + 2w$
$⇒ 45$

So, the correct option is (D): $45$.