Question

При комлектовании составов поездов первый состав оказался в 1,5 раза длиннее второго. Чтобы уравнять число вагонов в обоих поездах, от первого состава отцепили 4 вагона и прицепили их ко второму. Сколько вагонов было в каждом составе первоначально? ПОМОГИТЕ ПОЖАЛУЙСТА, НИКАК ОТВЕТ НЕ ПОЛУЧАЕТСЯ!!!

Answer 1

1 состав - 1,5х,
2 состав - х,

1,5х - 4 = х + 4,
1,5х - х = 4 + 4,
0,5х = 8,
х = 16 в. - было во 2 составе,
1,5х = 1,5*16 = 24 в. - было первоначально в 1 составе

Answer 2

Х - было вагонов во 2-м составе
1.5 х - было вагонов в 1-м составе
х + 4 - стало вагонов во 2-м составе
1.5 х - 4 - стало вагонов в 1-м составе
х + 4 = 1.5 х - 4
0.5 х = 8
х = 16 - было вагонов во 2-м составе
1.5 * 16 = 24 - было вагонов в 1-м составе

Answer 3

To solve this problem, let's assign variables to the number of wagons in each train initially. Let's say the number of wagons in the first train is represented by 'x', and the number of wagons in the second train is represented by 'y'.

According to the problem, the first train is 1.5 times longer than the second train. This can be expressed as:

x = 1.5y ---(Equation 1)

To equalize the number of wagons in both trains, 4 wagons were detached from the first train and attached to the second train. This means that the number of wagons in the first train decreased by 4, while the number of wagons in the second train increased by 4.

So, the new number of wagons in the first train is 'x - 4', and the new number of wagons in the second train is 'y + 4'.

Now, we can set up another equation based on the new number of wagons:

(x - 4) = (y + 4) ---(Equation 2)

To solve this system of equations, we can substitute the value of 'x' from Equation 1 into Equation 2:

1.5y - 4 = y + 4

Simplifying the equation:

0.5y = 8

Dividing both sides by 0.5:

y = 16

Now, we can substitute the value of 'y' back into Equation 1 to find the value of 'x':

x = 1.5 * 16 = 24

Therefore, the initial number of wagons in the first train was 24, and the initial number of wagons in the second train was 16.

I hope this helps! Let me know if you have any further questions.