Determine is the number greatest than 19 and less than 34 that is divisible by 6 and 10
To find a number that is greater than 19 and less than 34, we can list the numbers in this range: 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, and 33.
Now, we need to determine which of these numbers is divisible by both 6 and 10.
For a number to be divisible by 6, it needs to be divisible by both 2 (because 6 is divisible by 2) and 3 (because 6 is divisible by 3).
For a number to be divisible by 10, it needs to end in 0.
Looking at the list, we can see that the only number that satisfies both criteria is 30. Therefore, the number that is greater than 19 and less than 34 and is divisible by both 6 and 10 is 30.