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Two​ trains, Train A and Train​ B, weigh a total of 479 tons. Train A is heavier than Train B. The difference of their weights is 357 tons. What is the weight of each​ train?

Respuesta :

Answer: Train A weighs 418 tons and Train B weighs 61 tons

Step-by-step explanation:

Let a represent the weight of Train A, and let b represent the weight of Train B.

We can set up a system of equations.

a + b = 479

a - b = 357 ( as we are given that a is heavier than b )

We can add the two equations:

a + b + a - b = 479 + 357

Combine like terms (which cancels out the b):

2a = 836

Divide both sides by 2:

a = 418

We can plug this back into the first equation:

418 + b = 479

Subtract 418 from both sides:

b = 61
A+B= 479tons
Thus representing the total weight of train A and B
Let make train A =A and train B = B
It says the difference of their weight is 357tons
I am going to devise equations out of it

357+A=B……equation 1
A+B=479……..equation 2

Since B is the subject of equation 1 already we would put in into equation 2

A+(357+A)=479
2A=479-357. 2A=122

Divide both side by 2
2A/2=122/2
A=61

Train As weight is 61
And we Can find Train Bs weight as

357+61=B

B=418

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