A certain company currently has how many employees?

(1) If 3 additional employees are hired by the company and all of the present employees remain, there will be at least 20 employees in the company.

(2) If no additional employees are hired by the company and 3 of the present employees resign, there will be fewer than 15 employees in the company.

Answer: The company currently has 17 employees

Step-by-step explanation:

Let X represent the number of current employees in the company

From the first information, it can be expressed mathematically as

X + 3 ≥ 20

X ≥ 20 - 3

X ≥ 17

From the second information, it can be expressed mathematically as

X - 3 < 15

X < 15 + 3

X < 18

From the above solutions, it can be deduced that

17 ≤ X < 18

The only number that fulfils this criteria is 17.

Therefore, X = 17