In a certain code language, “EASY” is written as “5117”. In the same code…

Concept: In this kind of letter-to-number coding, every letter is replaced by its position in the alphabet (A = 1, B = 2, … Z = 26). Whenever that position is a two-digit number, its digits are added together (repeated, if needed) until a single digit remains, and that single digit becomes the letter's code.

Application — checking the rule on EASY:

1. E is the 5th letter, so its code is 5.

2. A is the 1st letter, so its code is 1.

3. S is the 19th letter; 1 + 9 = 10, and 1 + 0 = 1, so its code is 1.

4. Y is the 25th letter; 2 + 5 = 7, so its code is 7.

5. Reading the codes in the word's own order gives 5-1-1-7, which matches the given code for EASY — confirming the rule.

Cross-check — applying the same rule to BEAM:

1. B is the 2nd letter, so its code is 2.

2. E is the 5th letter, so its code is 5.

3. A is the 1st letter, so its code is 1.

4. M is the 13th letter; 1 + 3 = 4, so its code is 4.

Reading these four codes in the word's own order (B, E, A, M) gives 2514.