Question

if the sum of the digits of two digit number is subtracted from the number then the resultant number is divisible by​

Answer 1

Step-by-step explanation:

Hence, the sum of the digits of a number is subtracted from the number, the resulting number is always divisible by 9

Answer 2

Let us work out with few numbers and get the answer

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 subtracted from the number, the resulting number is always divisible by 9.