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A group of men started work and aimed to finish the same in 10 days. After 4 days, 6 men left. The remaining men finished the work in 12 more days. How many men were there in the group initially?

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A group of men started work and aimed to finish the same in 10 days. After 4 days, 6 men left. The remaining men finished the work in 12 more days. How many men were there in the group initially?


1). 10
2). 12
3). 15
4). 8


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1 answers

3 vote
Answered by on | Votes 3 |

Let, No. of men initially = x

x men can complete the work in 10 days.

∴ Total work = 10x

Work done in 4 days = 4x

∴ Remaining work = 10x – 4x = 6x

According to problem, (x – 6) completed the remaining work in = 12 days

∴ 12(x – 6) = 6x

⇒ 6x = 72

⇒ x = 12

∴ Initially there were 12 men.

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