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Solving Equations with Variable on Both Sides

X men can do ...

Question

X men can do a work in 120 days. If there were 20 men less the work would have taken 60 days more. What is the value of X?

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Solution

We have M1 D1 = M2 D2 120X = (X - 20)180 => 2X = (X - 20) 3 2X = 3X - 60 => X = 60

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