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Two​ trains, Train A and Train​ B, weigh a total of 300 tons. Train A is heavier than Train B. The difference of their weights is 128 tons. What is the weight of each​ train?

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Answer:

Train A = 214

Train B = 86

Step-by-step explanation:

a + b = 300

a - b = 128

a + b = 300

a = 128 + b

(128 + b) + b = 300

128 + b + b = 300

128 + 2b = 300

2b = 300 - 128

2b = 172

b = 172 ÷ 2

b = 86

a = 128 + b

a = 128 + (86)

a = 214

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