what can Determine the number greater than 70 but less than 85 that is divisible by both 2 and 9.
can show how you got that answer
To determine the number that is greater than 70 but less than 85 and is divisible by both 2 and 9, we need to find the least common multiple (LCM) of 2 and 9 within this range.
First, let's find the multiples of 2 within the range:
72, 74, 76, 78, 80, 82, 84
Now, let's find the multiples of 9 within the range:
72, 81
To find the LCM, we need to identify the smallest number that appears in both lists. In this case, 72 is the only number that satisfies this condition. Hence, the number that is greater than 70 but less than 85 and divisible by both 2 and 9 is 72.
To get to this answer, I listed the multiples of 2 and 9 within the given range and then found their common multiples. The LCM is the smallest common multiple between the numbers.