The mystery number's tens digit is less than the ones digit.
The tens digit is less than the tenths digit.
The tens digit is even.
Its ones digit divided by its tens digit is 5.
The product of two of the digits is 6
It has two odd digits.
One of its digits is the sum of the other two digits.
One of its digits is seven
number: xx.x
ones/tens = 5, so ones=5,tens=1
15.x
how can tens be even? ones=5*tens, so if tens > 1, ones > 10, and isn't a single digit. Maybe the tenths digit is even?
I'd say 15.6
if one of the digits is 7, then I'd say
715.6 or 15.67 but the last rule says there are only 3 digits.
Where does the 7 fit in? can't say. If two of the digits multiply to give 6, then the number must contain 1,6 or 2,3.
Maybe the last rule is one of the digits is "even"?
I still stand by 15.6 but only if my suspected typos are true.
To find the answer to this question, we need to go through the given clues one by one and narrow down the possibilities until we find a number that satisfies all the conditions.
Let's start with the first clue: "The mystery number's tens digit is less than the ones digit." Since the tens digit is less than the ones digit, it means the tens digit can be any of the digits from 0 to 8, and the ones digit can be any digit from 1 to 9.
Next clue: "The tens digit is less than the tenths digit." This tells us that the tens digit is also less than the tenths digit. Since this clue doesn't give us any specific restrictions, we have to consider all digits from 0 to 9 as possibilities for the tenths digit.
Moving on to the next clue: "The tens digit is even." This further narrows down the possibilities for the tens digit. We can now eliminate all odd digits (1, 3, 5, 7, 9) as options for the tens digit. This leaves us with 0, 2, 4, 6, and 8 as potential values for the tens digit.
Now we have the clue: "Its ones digit divided by its tens digit is 5." This tells us that the ones digit must be 5 times greater than the tens digit. Since the tens digit is even, the ones digit can only be 0 or 5. However, if the ones digit is 0, it would make the entire number zero, which is not a valid possibility. Therefore, we can determine that the ones digit is 5.
The next clue is: "The product of two of the digits is 6." Since we already know that the ones digit is 5, we need to find two digits that multiply together to give us 6. The only possible combination is 2 and 3. Therefore, the remaining digit must be 6.
Moving on to the next condition: "It has two odd digits." We already have one odd digit, which is 5. To satisfy this condition, the other odd digit would be 3. So, we have 3, 5, and 6 as the three digits of the mystery number.
The next clue is: "One of its digits is the sum of the other two digits." We know that one of the digits is 7, so we need to check if it can be the sum of the other two digits (3 and 5). Since 3 + 5 is indeed equal to 7, this condition is satisfied.
Lastly, we have the clue: "One of its digits is seven." This tells us that the number 7 must be one of the digits, which we already determined when considering the previous clue.
Putting all the information together, the mystery number is 735. It satisfies all the given conditions.
In conclusion, the mystery number that fulfills all the given conditions is 735.