A certain number of people were supposed to complete a work in 24 days. They work however took 32 days since 9 people were absent throughout. How many people were supposed to be working originally?

36

According to the question, the following equations will be formed:

Let original workers be "w"

w x 24 = (w - 9) x 32

w x 24 = 32w - 288

 32w - 24w = 288

8w = 288

w = 36 workers