Question

Trains Two trains, Train A and Train B, weigh a total of 154 tons. Train A is heavier than Train B.

The difference of their weights is 100 tons. What is the weight of each train?
Train A weighs tons.

Answer 1

To find the weight of each train, we set Train B's weight as x tons and solve the equation 2x + 100 = 154, which reveals that Train B weighs 27 tons and Train A weighs 127 tons.

Step-by-step explanation:

To solve for the weights of both trains, we let the weight of Train B be x tons. Therefore, the weight of Train A will be x + 100 tons. Since we know the total weight, we can write the equation:

x + (x + 100) = 154

This simplifies to:

2x + 100 = 154

Subtracting 100 from both sides gives us:

2x = 54

Dividing both sides by 2 gives us:

x = 27

Therefore, Train B weighs 27 tons and Train A weighs 127 tons (since 27 + 100 = 127).