A bus leaves Delhi with half the number of women as men. At Meerut, ten men get down and five women get in. Now there are equal number of men and women. How many passengers boarded the bus initially at Delhi ?

Options

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

Answer

B

Explanation

Suppose the number of women boarded the bus at Delhi is x.
Therefore, the number of men = 2x
According to question,
`2x-10=x+5`
`implies2x-x=10+5`
`:.x=15`
Total number of passengers boarded the bus initially
= x + 2x = 3x = 3 x 15 = 45