Weight of train A is 465 tons and weight of train B is 73 tons
Solution:
Let "a" be the weight of train A
Let "b" be the weight of train B
Train A and Train B, weigh a total of 538 tons
Therefore,
a + b = 538 -------- eqn 1
Train A is heavier than Train B
The difference of their weights is 392 tons
Therefore,
a - b = 392 ------- eqn 2
Solve eqn 1 and eqn 2
Add eqn 1 and eqn 2
a + b = 538
a - b = 392
( + ) -----------
2a = 930
a = 465
Substitute a = 465 in eqn 1
465 + b = 538
b = 538 - 465
b = 73
Thus, weight of train A is 465 tons and weight of train B is 73 tons