A group of workers can do a piece of work in $24$ days. However as $7$ of them were absent it took $30$ days to complete work. How many people actually worked on the job to complete it?

Let the initial number of workers be x; using the formula x times 24 equals (x minus 7) times 30, we get 24x equals 30x minus 210. Solving for x gives x equals 35, which represents the total original workforce. The question asks for the number of people who actually worked, so we subtract the 7 absent workers from 35 to get 28.

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