There are 2 two-digit numbers such that one has been obtained by swapping the digits of the other. The number obtained by subtracting the smaller number from the larger number, is 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 3.

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There are 2 two-digit numbers such that one has been obtained by swapping the digits of the other. The number obtained by subtracting the smaller number from the larger number, is 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 3.

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 3.