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 July 20th, 2019, 08:14 PM #1 Senior Member   Joined: Aug 2014 From: India Posts: 458 Thanks: 1 Why n-4 in first step? Q. A group of men can complete a work in 24 days. In first 13 days, they all work together and then after every day 2 men left. If the work would be completed in 27 days, what was the total number of men in that group? Shortcut: 24n=13n+n-2+n-4----14 days 24n=13n+14/2(2n-4-26) 24n=13n+7(2n-30) 24n=13n+14n-210 3n=210 n=70 Why n-4 in first step? Last edited by skipjack; July 21st, 2019 at 02:00 AM.
 July 20th, 2019, 09:33 PM #2 Senior Member   Joined: Aug 2014 From: India Posts: 458 Thanks: 1 In second step: 24n=13n+14/2(2n-4-26) How 14/2(2n-4-26) is written??
 July 21st, 2019, 03:20 AM #3 Global Moderator   Joined: Dec 2006 Posts: 20,921 Thanks: 2203 Each day, 2 men left. If that means that 2 men left just before (or as) day 14 commenced, n - 2 men worked on day 14, n - 4 men worked on day 15, and so on until n - 28 men worked on day 27. It would be clearer to write (n - 2) + (n - 28), but 2n - 4 - 26 is an equivalent expression.

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