Determine the number greater than 70 but less than 85 that is divisible by both 2 and 9.
To solve this problem, we need to find a number that satisfies three conditions: it is greater than 70, less than 85, and divisible by both 2 and 9.
First, let's find the smallest number greater than 70 that is divisible by 2. Since all even numbers are divisible by 2, we can simply check the next even number after 70. In this case, it is 72.
Now, let's check if 72 is also divisible by 9. One way to check divisibility by 9 is to calculate the sum of its digits and see if the sum is divisible by 9. In this case, 7 + 2 = 9, which is divisible by 9. Hence, 72 is divisible by 9.
Since 72 satisfies the conditions of being greater than 70, divisible by 2 and 9, let's check if it is still less than 85. Since 72 is indeed less than 85, we have found the number that meets all the given conditions.
Therefore, the number greater than 70 but less than 85 that is divisible by both 2 and 9 is 72.