Discussion
A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
Answer: D
Let the ten's digit be \(x\) and unit's digit be \(y\)
Then, number \(10x + y\)
Number obtained by interchanging the digits \(= 10y + x\)
\((10x + y) + (10y + x) = 11(x + y)\)
which is divisible by 11
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