determine the number greater than 70 but less than 85 that is divisible by both 2 and 9
To find a number greater than 70 but less than 85 that is divisible by both 2 and 9, we need to consider the common multiples of 2 and 9 in this range.
First, we find the multiples of 2 by listing the numbers greater than 70 and checking if they are divisible by 2: 72, 74, 76, 78, 80, 82, 84.
Then, we check if any of these multiples of 2 is divisible by 9. The multiples of 9 are 72 and 81. Since 72 is greater than 70 and less than 85, it is the number that satisfies the conditions.
Therefore, the number greater than 70 but less than 85 that is divisible by both 2 and 9 is 72.