Question

Two​ trains, Train A and Train​ B, weigh a total of472 tons. Train A is heavier than Train B. The difference of their weights is 408 tons. What is the weight of each​ train?

Answer 1

Train A weighs 440 tons

Train B weighs 32 tons

Step-by-step explain

`\left \{ {{A +B=472} \atop {A-B=408}} \right.`

`\left \{ {{A+B=472} \atop {A=408 + B}} \right.`

`\left \{ {{(408 + B) +B=472} \atop {A=408+B}} \right.`

`\left \{ {{408+2B=472} \atop A=408+B}} \right.`

`\left \{ {{B=32} \atop {A=408+32}} \right.`

`\left \{ {{B=32} \atop {A=440}} \right.`