To decipher the code language used for the words FARM → HDTP and EGGS → GJIV, we need to look at the pattern of how each letter is transformed.

Let's break down the transformations:

1. FARM → HDTP

   • F → H: The letter F is shifted +2 positions in the alphabet (F, G, H).
   • A → D: The letter A is shifted +3 positions (A, B, C, D).
   • R → T: The letter R is shifted +2 positions (R, S, T).
   • M → P: The letter M is shifted +3 positions (M, N, O, P).

2. EGGS → GJIV

   • E → G: E is shifted +2 positions (E, F, G).
   • G → J: G is shifted +3 positions (G, H, I, J).
   • G → I: G is shifted +2 positions (G, H, I).
   • S → V: S is shifted +3 positions (S, T, U, V).

From this, we see the alternating pattern of shifts: +2, +3, +2, +3.

Now, applying this pattern to the word FOOD :

• F → H: F is shifted +2 positions.
• O → R: O is shifted +3 positions.
• O → Q: O is shifted +2 positions.
• D → G: D is shifted +3 positions.

Thus, FOOD will be coded as HRQG .

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