The Rajdhani train starts from Delhi city. The number of women in the

1.	The Rajdhani train starts from Delhi city. The number of women in the train is half the number of men. In Faridabad city, 10 men get off the train and five women enter the train. Now the number of men and women is equal. In the beginning, how many passengers entered the train?A. 25B. 35 C. 45D. 551. D2. A3. C4. B
Answer» 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.

The Rajdhani train starts from Delhi city. The number of women in the train is half the number of men. In Faridabad city, 10 men get off the train and five women enter the train. Now the number of men and women is equal. In the beginning, how many passengers entered the train?A. 25B. 35 C. 45D. 551. D2. A3. C4. B

Answer» 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