A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
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Let the number of machines required be x. Days6354Machines42x Here, the number of machines and the number of days are in inverse proportion. ∴6354=x42 ⇒x×54=63×42 ⇒x=63×4254=49 Hence, 49 machines would be required.