The sum of the digits of a $3$ digit number is subtracted from the number.
The resulting number is always _____

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Solution

Explanation
Divisibility rule: Divisibility means that a number goes evenly with no remainder into a number.
For example, $4$ goes evenly into $32$ . So, $32$ is divisible by $2$ .
Let the $3$ digit number be: $X Y Z$ .
As per the question, we have to find the divisibility of number $P$ (let),
$P = (100 X + 10 Y + Z) - (X + Y + Z)$
$P = (99 X + 9 Y)$
$P = 9 (11 X + Y)$
Which is divisible by $9$ .
Hence, if the sum of three digit number is subtracted from the number.
The resulting number is always divisible by $9$ .

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