Let the number of machines required to produce articles in 54 days be x. The following table is obtained.
|Number of machines||42||x|
|Number of days||62||54|
More the number of machines, lesser will be the number of days that it will take to produce the given number of articles. Thus, this is a case of inverse proportion. Therefore,
42 × 63 = 54× x
x = (42 x 63)/24 = 49
Hence, the required number of machines to produce the given number of articles in 54 days is 49.