A three digit number and reversal puzzle

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In summary, a three digit number and reversal puzzle is a mathematical game or riddle that involves finding a three digit number and its reverse that satisfy certain conditions or rules. Examples of these puzzles include finding a number and its reverse that add up to a specific sum or have a certain difference between them. To solve these puzzles, one should carefully read the given conditions, create a list of possible numbers and their reverses, and use strategies such as looking for patterns and breaking the problem into smaller parts. These puzzles also have real-world applications in fields such as cryptography and data encryption.
  • #1
K Sengupta
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A positive 3-digit decimal (base 10) number is such that if we divide the number by 3, reverse the digits of the result, and then subtract 1, we will obtain the original number.

Determine the number. What is the next greater number (possibly with more than 3 digits) with this property?
 
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  • #2
741
Divide by 3: 247
Reverse the digits: 742
Subtract 1: 741, the original number.
I don't know the next number.
 
  • #3
The next one after 741 is
7425741
 
  • #4
I tried to do a Visual Basic program to know all this numbers, but I kept getting overflowing.. I guess the other numbers are just really big.
 

FAQ: A three digit number and reversal puzzle

1. What is a three digit number and reversal puzzle?

A three digit number and reversal puzzle is a mathematical game or riddle that involves finding a three digit number and its reverse (the digits in the number are reversed) that satisfy certain conditions or rules. These puzzles can vary in difficulty and may require basic arithmetic operations or logical reasoning to solve.

2. What are some examples of three digit number and reversal puzzles?

One example of a three digit number and reversal puzzle is finding a number and its reverse that add up to a specific sum. For instance, finding a number and its reverse that add up to 99. Another example is finding a number and its reverse that have a certain difference between them, such as 27.

3. How do you approach solving a three digit number and reversal puzzle?

The first step in solving a three digit number and reversal puzzle is to carefully read the given conditions or rules. Then, it can be helpful to make a list or table of possible numbers and their reverses. From there, it may require trial and error to find the correct solution or a systematic approach such as working backwards from the given sum or difference.

4. Are there any strategies or tips for solving these puzzles?

One strategy for solving three digit number and reversal puzzles is to look for patterns or relationships between the numbers and their reverses. Another tip is to start with the digits in the middle of the numbers and work outward to help narrow down the possibilities. Additionally, breaking the problem into smaller parts and solving them separately can be helpful.

5. Are there any real-world applications for three digit number and reversal puzzles?

While these puzzles may seem like just a fun brain teaser, they can also have practical applications in fields such as cryptography or data encryption. In these scenarios, finding a number and its reverse that satisfy certain conditions can be used to create codes or algorithms that are difficult to decipher without the key.

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