Question

Trains Two trains, Train A and Train B, weigh a total of 222 tons. Train A is heavier than Train B. The

difference of their weights is 198 tons. What is the weight of each train?
Train A weighs 3 tons.

Answer 1

a=210

b=12

Explanation:

Answer 2

The weigh of Train A is 210 tonnes and Train B is 12 tonnes.

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 :

`a + b = 222 - - - (1)`

`a - b = 198 - - - (2)`

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) :

`(1) - (2)`

`a - a + b - ( - b) = 222 - 198`

`2b = 24`

`b = 24 / 2`

`b = 12`

Lastly, you have to substitute b = 12 into any of the equations :

`substitute \: \: b = 12 \: into \: (2)`

`a - 12 = 198`

`a = 198 + 12`

`a = 210`