To find the possible values of the missing digit(s) in the numbers given, we need to understand the divisibility rule for 11. A number is divisible by 11 if the difference between the sum of the digits at odd places and the sum of the digits at even places is either 0 or a multiple of 11.
Let's apply this rule to the numbers provided:
1. For 2*6:
- The sum of the digits at odd places = 2 (the digit represented by *)
- The sum of the digits at even places = 6
- The difference = 6 - 2 = 4
- Since 4 is not a multiple of 11, the missing digit cannot be determined.
2. For 8*71:
- The sum of the digits at odd places = 8 + 1 = 9
- The sum of the digits at even places = 7
- The difference = 9 - 7 = 2
- Since 2 is not a multiple of 11, the missing digit cannot be determined.
3. For 8*919:
- The sum of the digits at odd places = 8 + 9 = 17
- The sum of the digits at even places = 1
- The difference = 17 - 1 = 16
- Since 16 is not a multiple of 11, the missing digit cannot be determined.
In all the cases provided, the differences between the sums of the digits at odd and even places are not multiples of 11, so the missing digits cannot be determined based on the divisibility rule for 11.
