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

1.	Fill in the blanks to make the statement true.The difference of three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ___________.
Answer» 11 Explanation: Let “a”, “b” and “c” be the digits, then X = abc By reversing the digits, then take Y =cba Therefore sum of digits in X is 100a+10b+c Sum of digits in Y is 100c+10b+a By subtracting X and Y, we get 99(x-z) = (9)(11)(x-z) Therefore, the number is divisible by 9 and 11.

Fill in the blanks to make the statement true.The difference of three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ___________.

Answer»

Explanation:

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

By reversing the digits, then take Y =cba

Therefore sum of digits in X is 100a+10b+c

Sum of digits in Y is 100c+10b+a

By subtracting X and Y, we get

99(x-z) = (9)(11)(x-z)

Therefore, the number is divisible by 9 and 11.