Answer:
Suppose that x machines would required. We have the following table.
Lesser the number of machines, more will be the number of days to produce the same number of articles. So, this is a case of inverse proportion. Hence, \[42\times 63=x\times 54\] \[\Rightarrow \] \[x=\frac{42\times 63}{54}\] \[\Rightarrow \] \[x=49\] Hence, 49 machines would be required. Number of machines 42 \[x\] Number of days 63 54
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