Final answer:
The number of integers between 24 and 719 that are divisible by both 3 and 4 is 697.
Step-by-step explanation:
To find the number of integers between 24 and 719 that are divisible by 3 and 4, we need to find the number of integers that are divisible by both 3 and 4.
We can start by finding the smallest number that is divisible by both 3 and 4, which is 12.
Then, we find the largest number that is less than or equal to 719 and divisible by 12, which is 708.
Next, we subtract the smallest number divisible by 12 within the range from the largest number divisible by 12 within the range and add 1 to include both numbers. So, the result is 708 - 12 + 1 = 697.