The mystery number is: 3857
Further explanation:
Given
The mystery number is a four-digit number. Its digits are 8, 7, 3, and 5.
Then
The 5 and the 7 are side-by-side.
This means that the number will have either --57 or --75
The 5 and the 8 are side-by-side.
The number will involve either -85- or 58--
The 8 Is the second digit.
Which means only 8 will be at 2nd place.
[tex]-8-- => As\ 8\ has\ to\ be\ on\ 2nd\ digit's place[/tex]
The dashes represent the missing digits.
Now we cannot put 5 at first place because it has to be accompanied by 7 and 8 both so it will be on third place
[tex]-85-[/tex]
Now 7 can only be placed with 5
[tex]-857[/tex]
The remaining digit is 3, So the number will be:
[tex]3857[/tex]
The mystery number is: 3857
Keywords: Mystery numbers, word problems
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