Respuesta :

Using divisibility concepts, it is found that the missing digit is 3.

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  • A number is divisible by 9 if the sum of it's digits is a number divisible by 9.
  • All numbers that are divisible by 9 are also divisible by 3, as 9 is divisible by 3.

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  • The number is: 123 123 123 123 123 12x
  • The sum of the digits is:

[tex]1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + x = 33 + x[/tex]

  • The multiples of 9 are: {0, 9, 18, 27, 36, ...}

Thus, it is needed that:

[tex]33 + x = 36[/tex]

[tex]x = 36 - 33 = 3[/tex]

The missing digit is 3.

A similar problem is given at https://brainly.com/question/4251470

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