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## 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.

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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?

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Mathematics
2 weeks
2021-09-05T08:30:58+00:00
2021-09-05T08:30:58+00:00 1 Answers
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## Answers ( )

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