Question

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

72
72

78
78

84
84

81

Answer 1

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**.