Two trains, Train A and Train B, weigh a total of 538 tons. Train A is heavier than Train B. The difference of their weights is 392 tons. What is the weight of each train?

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

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