Final answer:
The largest possible integer value of a number that when divided by three is less than 15 is 44.
Step-by-step explanation:
If a number divided by three is less than 15, we use inequality to represent this condition algebraically: x/3 < 15. Multiplying both sides by 3 to isolate x gives us x < 45.
Since we are looking for the largest possible integer value of the number, we take the largest integer less than 45, which is 44.