My hundred digit is more thon gero.be
My thousand digit is seen. time mya hundred digjit.
Answers
Answer:
Step-by-step explanation:
Let’s take this line by line, as far as possible, from the clues given.
Your
1. ‘hundred-thousands digit is less than your ones digit’
2. ‘hundred-thousands digit is eight more than your thousands digit’
3. ‘hundred-thousands digit is two times your tens digit’
4. ‘hundred-thousands digit is four times your hundreds digit’
and we know that all digits must be integers.
- Taking the second clue, for a single digit integer to be eight more than another single digit integer, there are two possibilities:
8 (eight more than zero)
9 (eight more than one)
For a number of reasons, we know that the hundred-thousands digit must be 8, not 9.
From Clue 1 - it is less than the ones digit. This excludes 9, as 9 is not less than any other single digit integer.
From Clue 3 - it is two times your tens digit. To rephrase, this means it is an integer multiple of 2, or 2 is a factor of the number. 2 is not a factor of 9, excluding it, while it is a factor of 8, allowing it to remain.
From Clue 4 - it is four times your hundreds digit. For the same reasons as Clue 3, this excludes 9 and includes 8.
Thus, we know that the hundred-thousands digit it 8.
From here, we can then find the other digits.
Clue 1 - ‘hundred-thousands digit is less than your ones digit’ - for 8 to be less than the ones digit, the ones digit must be 9 (it is the only single digit integer greater than 8).
Clue 2 - ‘hundred-thousands digit is eight more than your thousands digit’ - 8 is 8 more than 0, meaning that the thousands digit must be 0.
Clue 3 - ‘hundred-thousands digit is two times your tens digit’ - 8 is 2 times 4, meaning that the tens digit must be 4.
Clue 4 - ‘hundred-thousands digit is four times your hundreds digit’ - 8 is 4 times 2, meaning that the hundreds digit is 2.
Finally, we are told that the tens-thousands digit is 0.
Thus, 800 249,