150 workers were engaged to finish a piece of work in a certain number of days. Four workers dropped the second day, four more workers dropped the third day and so on. It takes 8 more days to finish the work now. Find the number of days in which the work was completed.

Explanation

To solve the problem step by step, we will analyze the situation and set up equations based on the information provided.

### Step 1: Define the variables
Let \( n \) be the number of days initially planned to complete the work.

### Step 2: Calculate the total work done
Initially, 150 workers are engaged to complete the work in \( n \) days. The total work can be expressed as:
\[
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