Sophia is thinking of a number.

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Its ones digit is an odd number greater than 7.

The value of its hundreds digit is 100 times greater than the value of the ones digit.

The thousands digit is 5 less than the hundreds digit.

The tens digit is double the thousands digit.

What is Sophia's number?


Let's break down the clues to find Sophia's number step by step.

1. **Ones digit**: The ones digit is an odd number greater than 7. The only odd number greater than 7 is 9. So, the ones digit is 9.

2. **Hundreds digit**: The value of the hundreds digit is 100 times greater than the value of the ones digit. Since the ones digit is 9, the hundreds digit must be \(9 \times 100 = 900\). But digits can only be single-digit numbers (0-9), so the hundreds digit must be 9.

3. **Thousands digit**: The thousands digit is 5 less than the hundreds digit. Since the hundreds digit is 9, the thousands digit is \(9 - 5 = 4\).

4. **Tens digit**: The tens digit is double the thousands digit. Since the thousands digit is 4, the tens digit is \(4 \times 2 = 8\).

Now, we can piece together Sophia's number using these digits:

- Thousands digit: 4
- Hundreds digit: 9
- Tens digit: 8
- Ones digit: 9

Thus, Sophia's number is **4989**.

Do you have any questions or need more details?

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Here are five related questions:

1. What would the number be if the ones digit were 7 instead of 9?
2. How would the problem change if the thousands digit was 2 less than the hundreds digit?
3. What if the tens digit were three times the thousands digit?
4. What is the sum of the digits of Sophia's number?
5. How would the number change if the tens digit were half the thousands digit?

**Tip:** When working with digit problems, always remember that each digit is a single number from 0 to 9, and use this to guide your reasoning.

Learn how to solve Sophia's number problem step-by-step. Discover how to determine the digits based on clues about ones, tens, hundreds, and thousands digits. Suitable for students in Grades 4-6.

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