Answer:
Train A = 320 tons. Train B = 95 tons.
Step-by-step explanation:
Given:
Two trains,Train A and Train B, weigh a total of 415 tons.
Train A is heavier than Train B.
The difference of their weights is 225 tons.
Question asked:
What is the weight of each train?
Solution:
As given that Train A is heavier than Train B and their weight's difference is 225 tons:-
Let weight of Train B = [tex]x[/tex] tons
Then weight of Train A = [tex]x+225[/tex] tons
Combined weight of both train is 415 tons
Weight of Train A + Weight of Train B = 415 tons
[tex]x+225+x=415\\\\ 2x+225=415\\[/tex]
Subtracting both sides by 225
[tex]2x=190[/tex]
Dividing both sides by 2
[tex]x=95[/tex]
Substituting the value:-
Weight of Train B = [tex]x[/tex] = 95 tons
Then weight of Train A = [tex]x+225[/tex] = 95 + 225 = 320 tons
Therefore, weight of Train A is 320 tons and weight of Train B is 95 tons.
