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Fill in the blanks to make the statement true.

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

1 Answer

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Best answer

11

Explanation:

Let “a” and “b” be the digits, then X = ab

By reversing the digits, then take Y =ba

Therefore sum of digits in X is 10a+b

Sum of digits in Y is 10b+a

By adding X and Y, we get

11a+11b = 11(a+b)

Therefore, the number is divisible by 11.

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