Correct Answer - Option 3 : C
Given:
The number of women on the train is half the number of men. In Faridabad city, 10 men get off the train and five women enter the train.
Concept Used:
Concept of the linear equation of one variable
Calculation:
Let, the number of men in the train is 2x
Accordingly, the number of women on the train is x
In Faridabad city, 10 men get off the train and five women enter the train.
Now, the number of men in the train is (2x - 10) and the number of women in the train is (x + 5)
Accordingly,
(2x - 10) = (x + 5)
⇒ 2x - x = 5 + 10
⇒ x = 15
In the beginning, the number of women on the train was 15 and the number of men on the train was 15 × 2 = 30
At the beginning number of passengers in the train was (30 + 15) = 45
∴ In the beginning, 45 passengers entered the train.