A number of the form xxyy when divided by 11 gives a number which is again divisible by 11.If x - y = 1 , find the number.

A number of the form xxyy when divided by 11 gives a number which is again divisible by 11.

Thus, the number must be divisible by 11 × 11 = 121

Now, it is given that x - y = 1,

Thus, the digits must be consecutive digits.

Now consider the case 3322, it is not divisible by 121

Lets try 4433. This is also not divisible by 121.

Now try with 6655.

It is divisible by 121.

Hence the answer is 6655.