Q. 73.7( 3 Votes )

If x denotes the digit at hundreds place of the number such that the number is divisible by 11. Find all possible values of x.

Answer :

Here, given number is .


We know that a number is divisible by 11 if and only if the difference between the sum of odd and even place digits is a multiple of 11.


Sum of even placed digits – Sum of odd placed digits = 0, 11, 22,…


(6 + x + 9) ( 7+1) = 0, 11, 22,


x + 7 is a multiple of 11


x + 7 = 11


x = 4


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