Fill in the blanks to make the statement true.The difference of a two

1.	Fill in the blanks to make the statement true.The difference of a two–digit number and the number obtained by reversing its digits is always divisible by ___________.
Answer» 9 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 subtracting X and Y, we get 9a – 9a = 9(ab) Therefore, the number is divisible by 9.

Fill in the blanks to make the statement true.The difference of a two–digit number and the number obtained by reversing its 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 subtracting X and Y, we get

9a – 9a = 9(ab)

Therefore, the number is divisible by 9.