Question
A certain number of persons can complete a piece of work
in 46 days. If there were 8 persons more, the work could be finished in 16 days less. How many persons were originally there?Solution
Let there be x men originally x men finish the work = 46 days And (x + 8) persons finish the work = (46-16) = 30 days  x men finish the work = 46  1 man finish the work = 46x  (x + 8) persons finish the work = 30 1 man finish the work = 30(x + 8) Now, 46x = 30(x + 8)  46x = 30x + 240 16x = 240 x = 15 There were 15 persons.
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