Question

В двух вагонах поезда ехало разное количество пассажиров. После того, как из первого вагона вышло 24 пассажира, а из второго - 17. В первом вагоне стало пассажиров в 2 раза меньше, чем во втором. Сколько пассажиров было в каждом вагоне сначала?

Answer 1

Скорее всего в условии задачи ошибка. Если в двух вагонах ехало равное количество, тогда задача имеет решение, иначе решений бесконечно много

Пусть x пассажиров стало после выхода в первом вагоне
значит 2x стало после выхода во втором вагоне
x+24   - было в первом вагоне
2x+17 - было во втором вагоне

x+24=2x+17
x=7

Answer 2

Problem Analysis

We are given that there were different numbers of passengers in two train cars. After 24 passengers exited the first car and 17 passengers exited the second car, the first car had half as many passengers as the second car. We need to determine the initial number of passengers in each car.

Solution

Let's assume the initial number of passengers in the first car is x and the initial number of passengers in the second car is y.

According to the given information: - After 24 passengers exited the first car, the number of passengers in the first car became x - 24. - After 17 passengers exited the second car, the number of passengers in the second car became y - 17. - The number of passengers in the first car became half of the number of passengers in the second car, so we have the equation: x - 24 = (y - 17) / 2.

To solve this system of equations, we can substitute the value of x from the second equation into the first equation and solve for y.

Let's solve the equations:

Equation 1: x - 24 = (y - 17) / 2

Equation 2: x = (y - 17) / 2 + 24

Substituting the value of x from Equation 2 into Equation 1:

((y - 17) / 2 + 24) - 24 = (y - 17) / 2

Simplifying the equation:

(y - 17) / 2 = (y - 17) / 2

This equation is true for any value of y. Therefore, we cannot determine the exact initial number of passengers in each car without additional information.

Conclusion

Based on the given information, we cannot determine the initial number of passengers in each train car. Additional information is needed to solve the problem.

Please let me know if there is anything else I can help you with.