Answer:
The train A weighs 137 tons and train B weighs 60 tons.
Step-by-step 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:
[tex]x + y = 197[/tex]
Train A is heavier than train B.
The difference of their weights is 77 tons.
Thus, we can write the equation:
[tex]x-y=77[/tex]
Solving the two equations, we get,
[tex]2x = 274\\\Rightarrow x = 137\\\Rightarrow y = 197-137 = 60[/tex]
Thus, the train A weighs 137 tons and train B weighs 60 tons.