Two trains, train a and train b, weigh a total of 312 tons. train a is heavier than train b. the difference of their weights is 170. what is the weight of train a?

Train A weighs 241 tons while train B weighs 71 tons.

Let x represent the weight of train A and y represent the weight of train B.

Since they both weigh 312 tons, hence:

x + y = 312    (1)

The difference of their weight is 170, and train A is heavier, hence:

x - y = 170     (2)

Solving equation 1 and 2 simultaneously gives:

x = 241, y = 71

Therefore train A weighs 241 tons while train B weighs 71 tons.

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