determine the number greater than 70 but less than 85 that is divisible by both 2 and 9
a 78
b 81
c 72
d 84
To find the number greater than 70 but less than 85 that is divisible by both 2 and 9, we need to check the numbers within this range and see which ones satisfy both conditions.
Checking the numbers one by one,
72 is divisible by 2 and 9.
73 is not divisible by either 2 or 9.
74 is divisible by 2 but not by 9.
75 is not divisible by either 2 or 9.
76 is divisible by 2 but not by 9.
77 is not divisible by either 2 or 9.
78 is divisible by both 2 and 9.
79 is not divisible by either 2 or 9.
80 is divisible by 2 but not by 9.
81 is not divisible by 2 but it is divisible by 9.
82 is divisible by 2 but not by 9.
83 is not divisible by either 2 or 9.
84 is divisible by both 2 and 9.
From the numbers checked, we can see that the number that satisfies both conditions is 78 (option A).
Therefore, the answer is option A.