A two-digit number less than 80 but greater than 65 is divisible by 2 and 9. Name the number.
The number that satisfies the given conditions is 72.
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The greatest prime number less than 50 is 47.
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Name the greatest prime number less than 50
(1 point)
To find the two-digit number that meets the given conditions, we need to identify a number that is less than 80 but greater than 65, and is divisible by 2 and 9.
Let's start by finding the numbers between 65 and 80. We can create a list to make it easier:
65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79
Next, we'll check which of these numbers are divisible by both 2 and 9. To be divisible by 2, a number must be even, meaning its units digit must be 0, 2, 4, 6, or 8.
Now, let's go through the list of numbers and check for divisibility by both 2 and 9:
65 - Not divisible by 2 or 9
66 - Divisible by 2, but not divisible by 9
67 - Not divisible by 2 or 9
68 - Divisible by 2, but not divisible by 9
69 - Not divisible by 2 or 9
70 - Divisible by 2, but not divisible by 9
71 - Not divisible by 2 or 9
72 - Divisible by 2 and 9 - This is a possible answer
73 - Not divisible by 2 or 9
74 - Divisible by 2, but not divisible by 9
75 - Not divisible by 2 or 9
76 - Divisible by 2, but not divisible by 9
77 - Not divisible by 2 or 9
78 - Divisible by 2, but not divisible by 9
79 - Not divisible by 2 or 9
Based on the divisibility conditions mentioned, the only number that meets the criteria is 72. Therefore, the two-digit number less than 80 but greater than 65, and divisible by 2 and 9, is 72.