Question

The sum of the digits of a number is subtracted from the number. The resulting number is always divisible by -

(a) 2
(b) 5
(c) 8
(d) 9

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Answer 1

Answer:

9

Step-by-step explanation:

Let the number be 23.

Sum of digits is 2+3=5

Now, we subtract the sum of the digits from the number itself that is 23−5=18.

18 is divisible by both 2 and 9.

Similarly, Let the number be 15.

Sum of digits is 1+5=6

Now, we subtract the sum of the digits from the number itself that is 15−6=9.

9 is divisible by 9.

Hence, the sum of the digits of a number is divisible by 9