Question

if x is a three digit number and Y is the permutation of the digit x in any order then x-y is always divisible by​

Answer 1

Answer:

the answer is x. this can be divisible by x

Answer 2

If x is a three-digit number and Y is the permutation of the digit x in any order then x-y is always divisible by 9.

• x - y will always be divisible by 9.
• y is a permutation of the digits of x means that x and y are formed of the same digit but are in a different order.
• This can be proved by taking some examples.

1. Let x = 645 and y = 564,

       Then x - y = 81

       Since 9 X 9 = 81, ⇒ x - y is divisble by 9.

     2. Let x = 197 and y = 971

         Then x - y = -774

         Since 9 X (-86) = -774, ⇒ x - y is divisble by 9.

• Similarly, we can take any two values and the result will always be divisible by 9.