Question

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

Answer 1

There are many complicated methods to solve this!! But it is too hard and difficult to understand.
So i will give a simple way to solve this problem:-

◎ 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 number is 6655.

6655 is in form xxyy.

therefore,
. x = 6


Hope you satisfy! 👍😊