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?
Let the number of machines required be x.
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.