To create an odd number that satisfies the given clues, let's go through the steps:
Step 1: Start by listing the digits 0 to 9.
Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Step 2: Let's consider the thousands, hundreds, tens, and ones digits.
_ Thousands digit is twice ones digit.
_ Ten thousands digit is three times the tens digit.
_ Each digit is used only once.
Step 3: Determine the restrictions on each digit based on the clues.
Since the number is odd, the ones digit must be an odd number. Therefore, it must be either 1, 3, 5, 7, or 9.
The thousands digit is twice the ones digit, so it must be even. Based on the digits available, the only options for the thousands digit are 2, 4, 6, or 8.
The ten thousands digit is three times the tens digit, which means it must be divisible by 3. But since we have already used the digit 9 for the ones place, it cannot be the ten thousands digit. Therefore, the ten thousands digit can only be 3 or 6.
The remaining digits available for the hundreds digit are 0, 4, 5, and 7.
Step 4: Combine the digits to create the number.
Let's try different combinations to satisfy the clues and create an odd number:
Option 1:
Ten thousands digit: 3 (three times the tens digit)
Thousands digit: 6 (twice ones digit)
Hundreds digit: 0
Tens digit: 1
Ones digit: 5
The number formed: 30615
Option 2:
Ten thousands digit: 3 (three times the tens digit)
Thousands digit: 6 (twice ones digit)
Hundreds digit: 4
Tens digit: 0
Ones digit: 7
The number formed: 36407
So, two possible odd numbers that satisfy the given clues are 30615 and 36407.