Question

8. 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
plz give me step by step explanation ​

Answer 1

Answer:

Correct answer is option D ) 9.

Step-by-step explanation:

Let the number be xy , that is 10x+y .

Given, Sum of digits = x + y.

Question : The sum of digits of a number is subtracted from a number, the resulting number is always divisible by??

Number - Sum of digits

= ( 10 x + y) - ( x + y)

= 10x + y - x - y

= 10x - x + y - y

= 9x + 0

= 9x .

So , 9x has factors 9 & x. Therefore, 9x is always divisible by 9 .

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

please mark the answer as brainliest ...