There are 2 two digit numbers such that one have 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'.
$(10 a + b) - (10 b + a)$
$= 10 a + b - 10 b - a$
$= 9 a - 9 b$
$= 9 (a - b)$
Hence the number is divisible by 9. But 9 is also divisible by 3.

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There are 2 two digit numbers such that one have 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. But 9 is also divisible by 3.

The correct options are
A
3

D
12

Let the number be 'ab'.
$(10 a + b) - (10 b + a)$
$= 10 a + b - 10 b - a$
$= 9 a - 9 b$
$= 9 (a - b)$
Hence the number is divisible by 9. But 9 is also divisible by 3.