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A bus starts from city A. the number of women in the bus is half of the number of men. In city B, 10 men leaves the bus and 5 women enters. Now number of men and women is equal. What is the number of passengers in the beginning?
  • a)
    35
  • b)
    45
  • c)
    60
  • d)
    75
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A bus starts from city A. the number of women in the bus is half of th...
Let the number of women = x
Then number of men = 2x
In city B,
2x – 10 = x + 5 
⇒ 2x – x = 5 + 10 
⇒ x = 15
Total number of passengers in the beginning
= x  + 2x = 3x = 3 × 15 = 45 
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Most Upvoted Answer
A bus starts from city A. the number of women in the bus is half of th...
Understanding the Problem
To solve this problem, we need to understand the initial scenario and the changes that occur during the journey of the bus. Let's break down the information given in the question.

Initial Scenario
- Number of women = 1/2 * Number of men

Changes in City B
- 10 men leave the bus
- 5 women enter the bus
- Number of men = Number of women

Solving the Problem
Let's assume the initial number of men in the bus is M and the number of women is W.
From the initial scenario:
W = 1/2 * M
After the changes in City B:
M - 10 = W + 5
M - 10 = M/2 + 5
2(M - 10) = M + 10
2M - 20 = M + 10
M = 30
Therefore, the initial number of men in the bus was 30. Since the number of women is half the number of men, the initial number of women is 15.

Calculating the Total Number of Passengers
Total number of passengers = Number of men + Number of women
Total number of passengers = 30 (men) + 15 (women)
Total number of passengers = 45
Therefore, the number of passengers in the beginning was 45, which corresponds to option B.
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A bus starts from city A. the number of women in the bus is half of the number of men. In city B, 10 men leaves the bus and 5 women enters. Now number of men and women is equal. What is the number of passengers in the beginning?a)35b)45c)60d)75Correct answer is option 'B'. Can you explain this answer?
Question Description
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