Two trains, Train A and Train B, weigh a total of 379 tons. Train A is heavier than Train B. The difference of their weights is 255 tons. What is the weight of each train?
Question
Question
Two trains, Train A and Train B, weigh a total of 379 tons. Train A is heavier than Train B. The difference of their weights is 255 tons. What is the weight of each train?
Answer: A = 317
B = 61
Step-by-step explanation:
The following equation can be gotten from the question given. This will be:
A + B = 379 …….. i
A – B = 255 …….. ii
From equation i, make A the subject of the formula
A = 379 – B …… iii
Put the value of A in iii into equation ii
A – B = 255
(379 – B) – B = 255
379 – B – B = 255
379 – 2B = 255
2B = 379-255
2B = 124
B = 124/2
B = 62 tons
Since A + B = 379
A + 62 = 379
A = 379 – 62
A = 317 tons