# 150 workers were engaged to finish a piece of work in a certain number of day. four worker added on the second day, four more workers added on third day and so on. it takes 8 less days to finish the work now. find the number of days in which the work was completed

2
by mangeram

## Answers

2016-01-06T21:49:16+05:30
Let x be the number of days in which 150 workers finish the work.
According to the given information,
150x = 150 + 146 + 142 + …. (x + 8) terms
The series 150 + 146 + 142 + …. (x + 8) terms is an A.P. with first term 146, common difference –4 and number of terms as (x + 8)

However, x cannot be negative.
x = 17
Therefore, originally, the number of days in which the work was completed is 17.
Thus, required number of days = (17 + 8) = 25
Mark it brainliest if possible!!!
2016-01-07T20:45:01+05:30
Let the work has been completed in n days
total no. of workers = 150+146+142....
n/2 (150×2+(n-1)4)
total no. of workers = 150 (n-8)
n(150+2n-2)= 150 (n-8)
150n+2n×n-2n= 150n -150×8
n×n-n+600
n= 25