Question

Two​ trains, Train A and Train​ B, weigh a total of 489 tons. Train A is heavier than Train B. The difference of their weights is 419 tons. What is the weight of each train

Answer 1

Weight of Train A = 454 tons

Weight of Train B = 35 tons

Explanation:

It is given that:

Let,

A represent weight of Train A

B represent weight of Train B

According to given information:

A + B = 489 Eqn 1

A - B = 419 Eqn 2

Adding Eqn 1 and 2

A + B + A - B = 489 + 419

2A = 908

Dividing both sides by 2

`(2A)/(2)=(908)/(2)\\A = 454`

Putting A = 454 in Eqn 1

454 + B = 489

B = 489 - 454

B = 35

Therefore,

Weight of Train A = 454 tons

Weight of Train B = 35 tons