Determine the number greater than 70 but less than 85 that is divisible by both 2 and 9.(1 point)

To determine a number greater than 70 but less than 85 that is divisible by both 2 and 9, we first identify the conditions:

1. Divisibility by 2: The number must be even.
2. Divisibility by 9: The number must satisfy the condition that the sum of its digits is a multiple of 9.

Now, let’s evaluate the options provided:

• 72:

  • Even (divisible by 2)?
    • Yes.
  • Divisible by 9?
    • Sum of digits: 7 + 2 = 9 (which is a multiple of 9). Yes.

• 78:

  • Even?
    • Yes.
  • Divisible by 9?
    • Sum of digits: 7 + 8 = 15 (not a multiple of 9). No.

• 84:

  • Even?
    • Yes.
  • Divisible by 9?
    • Sum of digits: 8 + 4 = 12 (not a multiple of 9). No.

• 81:

  • Even?
    • No. (not divisible by 2)

The only number that meets both criteria and is in the specified range is 72.

Thus, the answer is 72.