Question

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

a. 72
b. 81
c. 78
d. 84

Answer 1

The number greater than 70 but less than 85 and divisible by both 2 and 9 is 72.Option A is the correct answer.

Step-by-step explanation:

We need to determine a number that is greater than 70 but less than 85 and is divisible by both 2 and 9. For a number to be divisible by 2, it must be even. For a number to be divisible by 9, the sum of its digits must be divisible by 9. Looking at the choices provided:

1. 72 is divisible by both 2 and 9.
2. 78 is divisible by 2, but not by 9.
3. 84 is divisible by 2, but not by 9.

Therefore, the correct answer is 72, which is greater than 70, less than 85, and divisible by both 2 and 9.

To find a number greater than 70 but less than 85, divisible by both 2 and 9, we consider the options. Among the given choices, only 72 meets these criteria. It is divisible by 2 as it is even and divisible by 9 since the sum of its digits (7 + 2) equals 9. Therefore, 72 is the correct answer, satisfying all the specified conditions.