Question
A two-digit number less than 80 and greater than 65 is divisible by 2 and 9. Name the number.(1 point)
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GPT-4o mini
To find a two-digit number less than 80 and greater than 65 that is divisible by both 2 and 9, we start by identifying numbers that meet these criteria.
1. **Divisibility by 2**: The number must be even.
2. **Divisibility by 9**: The number must be a multiple of 9.
The two-digit multiples of 9 in the range between 65 and 80 are:
- **72** (9 x 8)
- **81** (9 x 9, but this is greater than 80)
The only candidate in the specified range is **72**. Additionally, 72 is even, satisfying the condition of being divisible by 2.
Therefore, the number you are looking for is **72**.
1. **Divisibility by 2**: The number must be even.
2. **Divisibility by 9**: The number must be a multiple of 9.
The two-digit multiples of 9 in the range between 65 and 80 are:
- **72** (9 x 8)
- **81** (9 x 9, but this is greater than 80)
The only candidate in the specified range is **72**. Additionally, 72 is even, satisfying the condition of being divisible by 2.
Therefore, the number you are looking for is **72**.
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