Question

trains two trains, train a and train b, weigh a total of 347 tons. train a is heavier than train b. the difference of their weights is 259 tons. what is the weight of each train? train a weighs (square) tons.

Explanation:

Step1: Define variables for weights

Let $w_A$ = weight of Train A, $w_B$ = weight of Train B.

Step2: Set up total weight equation

$w_A + w_B = 347$

Step3: Set up weight difference equation

$w_A - w_B = 259$

Step4: Add equations to solve $w_A$

$$w_A + w_B + w_A - w_B = 347 + 259$$
$$2w_A = 606$$
$$w_A = \frac{606}{2} = 303$$

Step5: Solve for $w_B$ (optional check)

$303 + w_B = 347$
$w_B = 347 - 303 = 44$

Answer:

Train A weighs 303 tons, Train B weighs 44 tons.