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Select all the digits that make this statement true.644 76? is divisible by 9.9670Submit

Question

Select all the digits that make this statement true.

644 76? is divisible by 9.9670.

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Solution

To determine if a number is divisible by 9, the sum of its digits must also be divisible by 9.

Let's add up the digits we know in 64476?:

6 + 4 + 4 + 7 + 6 = 27

Now, we need to find a digit that we can add to 27 to get a number that is divisible by 9. The next few numbers that are divisible by 9 after 27 are 36, 45, 54, etc.

So, the possible digits for ? could be 9 (to make 36), 18 (to make 45), but 18 is not a digit. So, the only possible digit that can make 64476? divisible by 9 is 9.

This problem has been solved

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