Question

Trains Two trains, Train A and Train B, weigh a total of 480 tons. Train A is heavier than Train B. Thedifference of their weights is 352 tons. What is the weight of each train?

Answer 1

We need to find the weight of each train.

Let's use the letter a to represent the weight of train A, and the letter b to represent the weight of Train B, in tons.

We know that the sum of their weights is 480 tons. So, we have:

$a+b=480$

Also, Train A is heavier than Train B, and the difference of their weights is 352 tons. So, we have:

$a-b=352$

Thus, we need to solve this system of equations to find the weight of each train.

If we add both equations, we obtain:

$\begin{gathered} a+b+a-b=480+352 \\ \\ 2a=832 \\ \\ \frac{2a}{2}=\frac{832}{2} \\ \\ a=416 \end{gathered}$

Now, we can use the previous result to obtain b:

$\begin{gathered} a+b=480 \\ \\ 416+b=480 \\ \\ 416+b-416=480-416 \\ \\ b=64 \end{gathered}$

Therefore:

• the weight of Train ,A, is ,416, tons;

,

• the weight of Train ,B, is ,64, tons.