Question 149

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?

Solution

Let the number of women at the start be w. hence, the number of men in the bus = 2w
Now, at Y, 5 women board and 10 men leave. This equals the number of men and women.
Hence, w+5 = 2w - 10 ===> w = 15
hence, total passengers at the start of the day = w + 2w = 45

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MAT 2005 Question Paper

A busstarts from city X. The number of womenin the bus is half of the number of men. Incity Y, 10 men leave the bus and five women enter. Now, the number of men and womenis equal. In the beginning, how many passengers entered the bus?

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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?