Question 31

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 ?

let's say intially men were $$x$$ so women will be $$\frac{x}{2}$$
After getting in and leaving bus men will be $$x-10$$ and women will be $$\frac{x}{2} +5 $$
so $$x-10$$ = $$\frac{x}{2} +5 $$
or $$x$$ = 30 (men) and women will be 15
Total persons who boarded bus = 45

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