Answer:
The weigh of Train A is 210 tonnes and Train B is 12 tonnes.
Step-by-step explanation:
Firstly, you have to form an simultaneous equation using the information above. Let a = variable of Train A and let b = variable of Train B :
[tex]a + b = 222 - - - (1)[/tex]
[tex]a - b = 198 - - - (2)[/tex]
Next, you have to solve the simultaneous equation by eliminating one variable. I will choose to eliminate a so you have to subtract (2) from (1) :
[tex](1) - (2)[/tex]
[tex]a - a + b - ( - b) = 222 - 198[/tex]
[tex]2b = 24[/tex]
[tex]b = 24 \div 2[/tex]
[tex]b = 12[/tex]
Lastly, you have to substitute b = 12 into any of the equations :
[tex]substitute \: \: b = 12 \: into \: (2)[/tex]
[tex]a - 12 = 198[/tex]
[tex]a = 198 + 12[/tex]
[tex]a = 210[/tex]
