Decoding Letter Codes

The problem involves finding the code for the letter 'T' based on the given coded words: 'HOUR' is coded as '3867' and 'HURT' is coded as '5836'. This is a type of substitution cipher where letters are replaced by digits.

Analyzing Coded Words

We need to compare the two words and their codes to deduce the mapping:

• Word 1: HOUR = 3867
• Word 2: HURT = 5836

Identifying Common Elements

Let's find the common letters between 'HOUR' and 'HURT' and the common digits between their codes '3867' and '5836'.

• Common Letters: H, U, R
• Codes: HOUR (3867), HURT (5836)
• Common Digits: The digits that appear in both codes are 3, 8, and 6.

This implies that the letters H, U, and R correspond to the digits 3, 8, and 6 in some order.

Finding the Code for 'T'

Now, let's focus on the word 'HURT' and its code '5836'.

• The letters in 'HURT' are H, U, R, T.
• The digits in the code '5836' are 5, 8, 3, 6.
• We've established that H, U, and R map to the digits {8, 3, 6}.
• Therefore, the letter 'T' must correspond to the remaining digit in the code '5836'.
• The remaining digit is 5.

Thus, the code for 'T' is 5.