Question

На железнодорожной станции стояли два состава,причем в одном из них было в 2 раза больше вагонов,чем в другом.Когда от первого состава отцепили 14 вагонов и прицепили их ко второму составу,то вагонов в составах стало поровну.Сколько вагонов было в каждом составе?

Answer 1

2х-14=х+14

х=28

2*28=56

28+14=56-14=42 вагона

Ответ: в первом составе было 56 вагонов, а во втором 28, после прицепления в каждом стало по 42 вагона

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of wagons in each train given the following conditions: 1. One train has twice as many wagons as the other. 2. When 14 wagons are moved from the first train to the second, the number of wagons becomes equal in both trains.

Solution

Let's denote the number of wagons in the first train as x and in the second train as y.

According to the given conditions: 1. y = 2x (One train has twice as many wagons as the other) 2. x - 14 = y + 14 (When 14 wagons are moved from the first train to the second, the number of wagons becomes equal in both trains)

We can solve these equations to find the values of x and y.

Solving the Equations

Substitute the value of y from the first equation into the second equation: x - 14 = 2x + 14

Solving for x: x = 28

Substitute the value of x back into the first equation to find y: y = 2x = 2*28 = 56

Answer

So, there were 28 wagons in the first train and 56 wagons in the second train.