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The work done by (x – 2) men in (4x + 1) days and the work done by (4x + 1) men in (2x – 3) days are in the ratio 3 : 8, Find the value of x.

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Assuming that all the men do the same amount of work in one day and one day work of each

man = 1 units, we have,

Amount of work done by (x − 2) men in (4x + 1) days

= Amount of work done by (x − 2)(4x + 1) men in one day

= (x − 2)(4x + 1) units of work

Similarly,

Amount of work done by (4x + 1) men in (2x − 3) days

= (4x + 1)(2x − 3) units of work

According to the given information,

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