A certain number of men can finish a piece of work in 100 days . if there were 10 men less , it would take 10 days more for the work to be finished . How many men were there originally ?
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Answer:
100
Step-by-step explanation:
Let the number of men be x
Initially,
x men could do the work in 100 days
1 man could do the work in 100x days........(i)
Later,
(x-10) men can do the work in 110 days
so, 1 man can do thw work in 110(x-10) days..........(ii)
from (i) and (ii), we can conclude,
100x=110(x-10)
100x=110(x-10)100x=110x-1000
100x=110(x-10)100x=110x-100010x=1000
100x=110(x-10)100x=110x-100010x=1000x=100
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