The difference of a number consisting of two digits from the number formed by interchanging the digi...........

Quantitative Aptitude ( CCS) Number System

The difference of a number consisting of two digits from the number formed by interchanging the digits is always divisible by

Let the number be 10x + y

where y < x Number obtained by interchanging the digits = 10y + x

∴ Difference = 10x + y – 10y – x = 9x – 9y = 9 (x−y)

the difference is always exactly divisible by 9.

Hence, option 2 is the correct answer.

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