Answer:
A = 441 tons
B = 43 tons
Step-by-step explanation:
Let A = weight of train A and B = weight of train B,
Given that they two trains weigh a total of 484 tons,
A + B = 484 ---------- (eq 1)
Also given that the difference of their weights is 398 tons and A is heavier than B,
A - B = 398 --------(eq 2)
solving the system of equations by elimination
(eq1) + (eq2):
(A + B) + (A - B) = 484 + 398
A + B + A - B = 882
2A = 882 (divide both sides by 2)
A = 882/2
A = 441 tons (substitute this back into equation 1)
A + B = 484
441 + B = 484 (subtract 441 from both sides)
B = 484 - 441
B = 43 tons
Hope this helps!
