Q. 215.0( 1 Vote )

# Fill in the blanks to make the statements true.The sum of a two-digit number and the number obtained by reversing the digits is always divisible by ………………… .

Let x and y be the digits in a two-digit number A = xy.

Reversing the digits, we get B = yx.

Sum of the digits in A is (10x + y).

Sum of the digits in B is (10y + x).

Sum S = A + B = (10x + y) + (10y + x).

S = 10x + x + 10y + y = 11x + 11y = 11(x + y)

The number is divisible by 11.

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