My hundreds digit is the last odd number. Five less than my hundreds digit is my ones and my tens digit is two more than my ones digit. My thousands digit is three less than my hundreds digit.
my ans: 6964
Did you check if your answer matches all the conditions ?
To find the number that satisfies the given conditions, let's break down the information provided step-by-step:
1. "My hundreds digit is the last odd number."
From this, we can deduce that the hundreds digit can only be 1, 3, 5, 7, or 9.
2. "Five less than my hundreds digit is my ones digit."
This means that the ones digit is obtained by subtracting 5 from the hundreds digit.
3. "My tens digit is two more than my ones digit."
This implies that the tens digit is obtained by adding 2 to the ones digit.
4. "My thousands digit is three less than my hundreds digit."
This tells us that the thousands digit is obtained by subtracting 3 from the hundreds digit.
Putting all this information together, we can start with the given hundreds digit options and work our way through each condition:
1. Try with the hundreds digit as 1:
- Ones digit: 1 - 5 = -4 (not possible; must be positive)
Since it doesn't satisfy the condition, we move on to the next hundreds digit.
2. Try with the hundreds digit as 3:
- Ones digit: 3 - 5 = -2 (not possible; must be positive)
Again, this doesn't satisfy the condition, so let's try the next hundreds digit.
3. Try with the hundreds digit as 5:
- Ones digit: 5 - 5 = 0
- Tens digit: 0 + 2 = 2
- Thousands digit: 5 - 3 = 2
The number formed so far is 2,502. However, this doesn't match the given thousands digit condition (thousands digit three less than the hundreds digit). Therefore, we conclude that 5 cannot be the hundreds digit.
4. Try with the hundreds digit as 7:
- Ones digit: 7 - 5 = 2
- Tens digit: 2 + 2 = 4
- Thousands digit: 7 - 3 = 4
The number formed so far is 4,247. This satisfies all the given conditions.
Hence, the final answer is 4247.
To find the number, let's break down the given information step by step.
1. The hundreds digit is the last odd number:
- The last odd number is 9.
- So, the hundreds digit is 9.
2. Five less than the hundreds digit is the ones digit:
- The hundreds digit is 9.
- Five less than 9 is 4.
- So, the ones digit is 4.
3. The tens digit is two more than the ones digit:
- The ones digit is 4.
- Two more than 4 is 6.
- So, the tens digit is 6.
4. The thousands digit is three less than the hundreds digit:
- The hundreds digit is 9.
- Three less than 9 is 6.
- So, the thousands digit is 6.
Therefore, the number is 6964.