Question

Two​ trains, Train A and Train​ B, weigh a total of 184 tons. Train A is heavier than Train B. The difference of their weights is 90 tons. What is the weight of each​ train?

Answer 1

• A: 137 tons
• B: 47 tons

Explanation:

You want the weights of trains A and B if the sum of their weights is 184 tons and the difference of their weights is 90 tons.

Equations

We can write the equations for the weights as ...

A +B = 184

A -B = 90

Solution

Adding the two equations gives ...

2A = 274

A = 137

Subtracting the second equation from the first gives ...

2B = 94

B = 47

Train A weighs 137 tons; train B weighs 47 tons.

<95141404393>