If MACHINE is coded as 19 - 7 - 9 - 14 - 15 - 20 - 11, how will you code DANGER?

In alphabet-to-number coding-decoding, each letter of a word is replaced by a number formed by adding a fixed constant to that letter's position in the English alphabet (A = 1, B = 2, ... Z = 26). The constant is found by comparing one coded word to its letters' positions, and the same constant then decodes any other word.

Finding the constant from MACHINE:

1. M is the 13th letter; its given code is 19, so the constant is 19 - 13 = 6.

2. A is the 1st letter; 1 + 6 = 7, which matches the given code.

3. C is the 3rd letter; 3 + 6 = 9, which matches the given code.

4. H is the 8th letter; 8 + 6 = 14, which matches the given code.

5. I is the 9th letter; 9 + 6 = 15, which matches the given code.

6. N is the 14th letter; 14 + 6 = 20, which matches the given code.

7. E is the 5th letter; 5 + 6 = 11, which matches the given code.

So the constant +6 is confirmed across every letter of MACHINE.

Applying the same +6 rule to DANGER:

1. D is the 4th letter: 4 + 6 = 10.

2. A is the 1st letter: 1 + 6 = 7.

3. N is the 14th letter: 14 + 6 = 20.

4. G is the 7th letter: 7 + 6 = 13.

5. E is the 5th letter: 5 + 6 = 11.

6. R is the 18th letter: 18 + 6 = 24.

Cross-check: reversing the rule on the first and last derived values gives 10 - 6 = 4 (D) and 24 - 6 = 18 (R), both correct, confirming the constant was applied consistently.

So DANGER is coded as 10 - 7 - 20 - 13 - 11 - 24.