Question

Two trains, train a and train b, weigh a total 197. Train A is heavier than train b. The difference of their weights is 77 tons. What is the weight of each train

Answer 1

The train A weighs 137 tons and train B weighs 60 tons.

Explanation:

We are given the following in the question:

There are two trains.

Train A and Train B.

Let x tons be the weight of train A and y tons be the weight of train B.

Total weight = 197 tons.

Thus, we can write the equation:

`x + y = 197`

Train A is heavier than train B.

The difference of their weights is 77 tons.

Thus, we can write the equation:

`x-y=77`

Solving the two equations, we get,

`2x = 274\\\Rightarrow x = 137\\\Rightarrow y = 197-137 = 60`

Thus, the train A weighs 137 tons and train B weighs 60 tons.