Fill in the blanks to make the statement true.The sum of a two–digi

1.	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 __________.
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.

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 __________.

Answer»

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.