Decoding the Encryption Rule

To find the code for 52191, we first need to determine the encryption rule from the example provided: A/C No. 46873 is coded as 91317157.

1. Analyzing the Example

Let's observe how each digit in the original number is transformed. The code is longer than the original number, which suggests each digit is converted into a new number.

• Input: 46873
• Code: 91317157

By splitting the code, we can see the following correspondence:

• The digit 4 becomes 9.
• The digit 6 becomes 13.
• The digit 8 becomes 17.
• The digit 7 becomes 15.
• The digit 3 becomes 7.

The mathematical rule for this transformation is that each digit 'd' is converted to the value of 2d + 1.

• 2 × 4 + 1 = 9
• 2 × 6 + 1 = 13
• 2 × 8 + 1 = 17
• 2 × 7 + 1 = 15
• 2 × 3 + 1 = 7

The final code is created by concatenating these results.

2. Applying the Rule to 52191

Now we apply the same rule (2d + 1) to each digit of the number 52191:

• For 5: 2 × 5 + 1 = 11
• For 2: 2 × 2 + 1 = 5
• For 1: 2 × 1 + 1 = 3
• For 9: 2 × 9 + 1 = 19
• For 1: 2 × 1 + 1 = 3

Conclusion

By concatenating these new numbers, we get the final code.

The code for 52191 is 1153193.