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The image you uploaded contains a problem where clues are provided to help find a mystery 6-digit number. Here’s what it says and how it breaks down:

### Clues for the 6-digit number:
1. **All the digits are different.**
2. **The thousand's digit is 7 more than the tens digit.**
3. **The hundreds digit is the sum of the thousand's digit and the ones digit.**
4. **The total of the digits when added together is 24.**

### The mystery number is written as:
**27483X** (the last digit, X, is unknown and needs to be figured out based on the clues).

### Challenge Clues for a new mystery 5-digit number:
1. **Only two of the digits are the same.**
2. **The number in the ten-thousands place is one less than the digit in the thousands place.**
3. **The number in the ones place is three times the number in the hundred-thousands place.**
4. **The tens digit is one more than the digit in the hundred-thousands place.**

### The mystery 5-digit number is:
**23917**.

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Let me know if you would like further details on how each clue contributes to solving the mystery numbers! Here are 5 related questions:

1. How would you approach solving a digit puzzle like this without trial and error?
2. What mathematical strategies are helpful for clue-based number problems?
3. Why is it important to check for consistency between all clues when solving such puzzles?
4. What is the role of constraints in narrowing down possible solutions?
5. How can you set up equations to help solve problems like this?

### Tip:
When solving puzzles involving digits, always verify if all clues align correctly with the potential solution by checking all conditions.

Use the clues to find the mystery 6-digit and 5-digit numbers.

Learn how to solve digit puzzles by using clues to deduce the mystery 6-digit and 5-digit numbers. This problem involves logic and arithmetic strategies, suitable for students in Grades 5-7.

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