A 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? *
Answers
Answer: Hi!
Let 'x' denote the number of passengers initially
No. of passengers after first half = x/2+135
Number of passengers after second half = 2/3*(x/2+135) +110
After the train moves on from the second half, it leaves with 350 passengers.
Therefore,
2/3*(x/2+135) +110=350
2/3*(x/2+135)=350-110
2/3*(x/2+135)=240
x/2+135=3/2*(240)
x/2+135=360
x/2=360-135
x/2=225
x=225*2
=> x=450
Hence, the train had 450 passengers when it started.
I hope that answers your question.
Answer:
Description for Correct answer:
Let initially the number of passengers was x
Number of passengers after first halt = x2+125
Number of passengers after second halt = 12(x2+125)
By hypothesis,
12(x2+125)+100=250
= 12(x2+125)=150
=> x2+125=300
=> x2=175
=> x = 350
Explanation: