Question

# The sum of a two digit number and the number obtained by reversing the digits is always divisible by _________ .

Solution

## Lets $$xy$$ is a two digit number.From the question, we have to check for $$xy+yx$$$$xy+yx=10x+y+10y+x=11x+11y=11(x+y)$$So, this number is always divisible by $$11$$Hence the sum of a two digit number and the number obtained by reversing the digit is always divisible by $$11$$.Mathematics

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