A bus leaves Delhi with half the number ...

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 ?

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The correct Answer is:

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

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