Write a digit in the blank space of the given number $5, 94,_84$ so that the number formed is divisible by $9$ .

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Solution

We know that a number is divisible by $9$ , if the sum of the digits of the given number is divisible by $9$ .
Here, adding the digits of the given number we get $5 + 9 + 4 + 8 + 4 = 30$ .
But if we add $6$ to the given number, then the number formed will be $36$ which is divisible by $9$ .
Therefore, a digit in the blank space will be $6$ .

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