A fectory requires 42 machines to produce a given number of
articles in 63 days, How many machines would be required to

A fectory 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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  1. Answer:

    Here the number of machines and the number of days are in inverse proportion.

    \therefore\frac{63}{5}=\frac{x}{42}∴

    5

    63

    =

    42

    x

    \Rightarrow\ x=\frac{63\times42}{54}⇒ x=

    54

    63×42

    \Rightarrow\ x=49⇒ x=49

    49 machines would be required

    hope this helps!!!

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