If the work done by x men in (x+1) days is equal to the work done by (x+5) men in (x-2) days, then what is the value of x ?

Explanation

Equating the total work: x(x+1) = (x+5)(x-2). This expands to x^2 + x = x^2 + 3x - 10. Simplifying gives 2x = 10, so x = 5.

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