Question

The difference of the number consisting of two digits and the number formed by interchanging the digits is always divisible by ? Explanation needed.​

Answer 1

Answer:

34

Step-by-step explanation:

multiply 2× 34 you shall get it

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Answer 2

Answer:

$\huge\underline\bold {Answer:}$

A two digit number can be written as 10x + y,

where x is the digit at tens' place and y is the digit at ones' place.

On interchanging the digits, the number formed

= 10x + y

Therefore,

$10x + y - (10y + x) = 9x - 9y = 9(x - y)$

=> Given difference is always divisible by 9.