If the number x56789 is divisible by 11 then the digit to replace x is
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For a number to be divisible by 11 then the sum of the alternate number will be equal
So5+7+9=x+6+8
21=14+x
X=7
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Divisibility rule of 11 : A number is divisible by 11 if the difference between the sum of the digits at odd places and at even places is either equal to 0 or 11 or is a multiple of 11 .
given number = x56789
digits at odd places = x , 6 , 8
= sum = x + 6 + 8 = x + 14
digits at even places = 5 , 7 , 9
their sum = 5 + 7 + 9 = 21
difference = 21 - (x + 14) = 0
x = 21 - 14 => x = 7
Answer: required digit = 7
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given number = x56789
digits at odd places = x , 6 , 8
= sum = x + 6 + 8 = x + 14
digits at even places = 5 , 7 , 9
their sum = 5 + 7 + 9 = 21
difference = 21 - (x + 14) = 0
x = 21 - 14 => x = 7
Answer: required digit = 7
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