certain men can do a work in 75 days. if there were 6 more men, it could be done in 15 days. How many men were there in the beginning
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Given :- Certain men can do a work in 75 days. if there were 8 more men, it could be done in 15 days. How many men were there in the beginning ?
Solution :-
Let us assume that, there were x men in the beginning .
Then,
- x men can do a work in 75 days.
- (x + 8) men can do same work in 15 days.
So,
→ Total work = 75 * x or , 15(x + 8) .
comparing work now, as it is same in both case.
→ 75x = 15(x + 8)
→ 75x = 15x + 120
→ 75x - 15x = 120
→ 60x = 120
→ x = (120/60)
→ x = 2 men.
Hence, there were 2 men in the beginning .
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