There are 2 two digit numbers such that one has been obtained by swapping the digits of the other.

On subtracting the smaller number from the larger number, I get a number divisible by :

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Solution

The correct options are
A
3

D
12

Let the number be ab.

(10a + b) – (10b + a) = 10a + b – 10b – a

= 9a – 9b = 9(a – b).

Hence, the number is divisible by 9 and also divisible by 3.

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There are 2 two digit numbers such that one has been obtained by swapping the digits of the other. On subtracting the smaller number from the larger number, I get a number divisible by :

The correct options are A 3 D 12 Let the number be ab. (10a + b) – (10b + a) = 10a + b – 10b – a = 9a – 9b = 9(a – b). Hence, the number is divisible by 9 and also divisible by 3.

There are 2 two digit numbers such that one has been obtained by swapping the digits of the other.

On subtracting the smaller number from the larger number, I get a number divisible by :

The correct options are
A
3

D
12

Let the number be ab.

(10a + b) – (10b + a) = 10a + b – 10b – a

= 9a – 9b = 9(a – b).

Hence, the number is divisible by 9 and also divisible by 3.