a nuber consits of two digits . if the digits interchange place and the new number is added to the original number, then find the divisor

Hello Khushi, let x be in 10 place and y in unit place
So value of number = 10 x + y
As we interchange the digits we have a new number with value 10 y + x
Adding these two we get 11 x + 11 y = 11 ( x + y)
Hence the divisor is 11

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