In a factory, 150 workers were engaged to finish a piece of work in a certain number of days. However, if 4 workers are dropped everyday, except the first day, it will take 8 more days to finish the work. Find the number of days in which the work was to be completed.

Explanation

To solve the problem, we need to find the number of days (N) required to complete the work with 150 workers, considering that 4 workers are dropped every day after the first day, which results in an additional 8 days to complete the work.

### Step-by-step Solution:

1. **Define Variables:**
Let \( N \) be the original number of days required to complete the work with 150 workers.

2. **Calculate Total Work:**
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