A number consists of two digits. If the number formed by interchanging the digits is added to the original number, the resulting number (i.e. the sum) must be divisible by

Let the number be 10x + y After interchanging the digits, the number obtained = 10y + x According to the question, Resulting number = 10x + y + 10y + x = 11x + 11y = 11 (x + y) which is exactly divisible by 11.