Coding Language Decoding: Finding the Code for 'LKO'

This solution explains how to determine the numerical code for the letters 'L', 'K', and 'O' based on the provided coded words. We will identify the mapping of each letter to its corresponding digit.

Identifying Letter-Digit Mappings

We are given the following codes:

• MAKE = 4523
• RICE = 1298
• MORE = 5927
• CALM = 8465

We need to find the code for LKO.

Step-by-Step Deduction

1. Find Common Letters and Digits: Compare the given words and their codes to deduce individual letter codes.

   • Comparing MORE (5927) and CALM (8465), the common letter is 'M'. The common digit is '5'. Thus, M = 5.
   • Comparing MAKE (4523) and MORE (5927), the common letters are 'M' and 'E'. The common digits are '5' and '2'. Since M=5, it follows that E = 2.
   • Comparing MAKE (4523) and CALM (8465), the common letters are 'M' and 'A'. The common digits are '5' and '4'. Since M=5, it follows that A = 4.

2. Deduce Remaining Letters from Specific Words:

   • From MAKE (4523), which contains M, A, K, E: Known codes are M=5, A=4, E=2. The digits provided are {4, 5, 2, 3}. Therefore, K = 3.
   • From CALM (8465), which contains C, A, L, M: Known codes are A=4, M=5. The digits provided are {8, 4, 6, 5}. Thus, the remaining letters {C, L} correspond to the remaining digits {8, 6}.
   • From MORE (5927), which contains M, O, R, E: Known codes are M=5, E=2. The digits provided are {5, 9, 2, 7}. Thus, the remaining letters {O, R} correspond to the remaining digits {9, 7}.
   • From RICE (1298), which contains R, I, C, E: Known code is E=2. The digits provided are {1, 2, 9, 8}. Thus, the remaining letters {R, I, C} correspond to the remaining digits {1, 9, 8}.

3. Resolve Ambiguities:

   • We know from CALM that {C, L} = {8, 6}.
   • We know from RICE that {R, I, C} = {1, 9, 8}.
   • The digit '8' appears in both sets ({8, 6} and {1, 9, 8}). This strongly suggests C = 8.
   • If C = 8, then from {C, L} = {8, 6}, we determine that L = 6.
   • We know from MORE that {O, R} = {9, 7}.
   • We know from RICE that {R, I, C} = {1, 9, 8}. Since C=8, then {R, I} = {1, 9}.
   • Comparing {O, R} = {9, 7} and {R, I} = {1, 9}, the common letter is 'R' and the common digit is '9'. Therefore, R = 9.
   • Now, using {O, R} = {9, 7} and knowing R=9, we determine that O = 7.

4. Final Code for LKO:

   • L = 6
   • K = 3
   • O = 7

   Combining these digits, the code for LKO is 637.