760 men can eat food in 22 days. After 2 days how many man came so that they eat food in 19 days.

At the beginning, there are 22*760=16720 food days.

After 2 days, there are 20*760=15200 food days left.
If this should last only 19 days, it will feed 15200/19=80 persons.

You can therefore figure out how many more people came (in addition to the original 76).

To find out how many more men need to join after 2 days in order for them to finish eating the food in 19 days, we can follow these steps:

1. Calculate the initial rate at which men consume food per day:

- 760 men can eat the food in 22 days.
- Therefore, the rate at which men consume food per day is given by:

Rate = Total men / Total days

Rate = 760 men / 22 days

2. Determine how much food is left after 2 days:

- After 2 days, the remaining food can be calculated using the equation:

Remaining food = Initial rate * Remaining days

Remaining food = Rate * (Total days - 2)

3. Calculate the required rate of consumption to finish the food in 19 days:

- Since we want to finish the food in 19 days, the required rate of consumption can be found using the equation:

Required rate = Remaining food / Remaining days

4. Determine the number of men needed to achieve the required rate of consumption:

- The number of men required can be calculated using the equation:

Required men = Required rate * Remaining days

By following these steps, we can find the number of men needed after 2 days to finish eating the food in 19 days.