Answer:
64, 80
Step-by-step explanation:
We are looking for numbers between 49 and 95 that are multiples of 2, 8, and 16. To find our answer(s), they must fulfill all the requirements given. 16 is a multiple of both 2 and 8, so all multiples of 16 are also multiples of 2 and 8. If we look for multiples of 16, all of these numbers will automatically qualify as multiples of 2 and 8.
We will list out multiples of 16 and select the numbers that are in the range of 49 and 95.
{16, 32, 48, 64, 80, 96...}
Out of these numbers, 64 and 80 are possible answers.
Since 64 and 80 are multiples of 16, there are multiples of 2 and 8.
We have already found 64 and 80 to be multiples of 2, 8, and 16 and in between 49 and 95. There are no other rules that our answers must follow, so we can say that these are our two correct answers.
The correct answers are 64 and 80.
