Determine the number greater than 19 and less than 34 that is divisible by 6 and 10.(1 point)
Responses
60
60
30
30
24
24
20
To determine the number greater than 19 and less than 34 that is divisible by both 6 and 10, we need to find the least common multiple (LCM) of 6 and 10.
Step 1: Find the multiples of 6: 6, 12, 18, 24, 30, 36...
Step 2: Find the multiples of 10: 10, 20, 30, 40, 50, 60...
Step 3: Find the common multiples: 30, 60, 90...
From these common multiples, we can see that the number that meets the given conditions is 30.
Therefore, the number greater than 19 and less than 34 that is divisible by 6 and 10 is 30.
To determine the number that is greater than 19 and less than 34, and is divisible by both 6 and 10, follow these steps:
1. Find the smallest common multiple of 6 and 10, which is 30.
2. Determine if 30 is within the range of numbers we are considering (greater than 19 and less than 34). It meets this condition.
3. Therefore, the number that satisfies all the conditions is 30.
So the correct answer is 30.