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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? * |
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Answer» 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. |
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