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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To find the two-digit number that is less than 80, greater than 65, and divisible by both 2 and 9, we can use the following approach:
1. The number should be an even number (divisible by 2).
2. The number should be a multiple of 9.
Let's find the multiples of 9 between 65 and 80:
- The closest multiple of 9 after 65 is 9 x 8 = 72.
- The next multiple of 9 after 72 is 9 x 9 = 81, but this is greater than 80.
So the only multiple of 9 that is also a two-digit number less than 80 and greater than 65 is 72.
Now let's ensure that 72 is also divisible by 2: 72 รท 2 = 36, which means it is an even number and divisible by 2.
Therefore, the number we are looking for is 72.