Question

Train started from a station with certain number of passengers. At the first half, half of the passengers got down and 135 passengers got in. At the second half 1/3rd of the remaining passengers left and 110 persons entered. Then the train left for its destination with 350 passengers. How many passengers were there in the train when it started? *

Answer 1

Answer:

Number of passengers when the train started = 450

Step-by-step explanation:

Let the number of passengers when the Train started = x

Number of passengers who got down in the first half = x/2

Number of passengers in the train = x - x/2 = x/2

Number of passengers who got into the train in the first half = 135

Number of passengers in the train = x/2 + 135

Number of passengers who got down in the second half = 1/3(x/2 + 135)

Number of passengers in the train = (x/2 + 135) - 1/3(x/2 + 135)

Number of passengers who got into the train in the second half = 110

Number of passengers in the train =  (x/2 + 135) - 1/3(x/2 + 135) + 110

Given that;

Number of passengers when the train reached its destination = 350

=> (x/2 + 135) - 1/3(x/2 + 135) + 110 = 350

=> x/2 + 135 - x/6 - 45 + 110 = 350

=> x/2 - x/6 = 350 - 200

=> x/2 - x/6 = 150

=> (3x - x)/6 = 150

=> 2x = 900

=> x = 450