In a certain code, TEACHER is written as VGCEJGT. How is CHILDREN written in that code?

To determine how CHILDREN is written in the given code, we need to understand the pattern used to encode TEACHER as VGCEJGT.

Let's analyze the transformation from TEACHER to VGCEJGT step by step:

1. T -> V: T is the 20th letter of the alphabet, and V is the 22nd letter. So, T + 2 = V.
2. E -> G: E is the 5th letter, and G is the 7th letter. So, E + 2 = G.
3. A -> C: A is the 1st letter, and C is the 3rd letter. So, A + 2 = C.
4. C -> E: C is the 3rd letter, and E is the 5th letter. So, C + 2 = E.
5. H -> J: H is the 8th letter, and J is the 10th letter. So, H + 2 = J.
6. E -> G: E is the 5th letter, and G is the 7th letter. So, E + 2 = G.
7. R -> T: R is the 18th letter, and T is the 20th letter. So, R + 2 = T.

The pattern is that each letter in TEACHER is shifted forward by 2 positions in the alphabet to get the corresponding letter in VGCEJGT.

Now, we apply the same pattern to CHILDREN:

1. C -> E: C is the 3rd letter, and E is the 5th letter. So, C + 2 = E.
2. H -> J: H is the 8th letter, and J is the 10th letter. So, H + 2 = J.
3. I -> K: I is the 9th letter, and K is the 11th letter. So, I + 2 = K.
4. L -> N: L is the 12th letter, and N is the 14th letter. So, L + 2 = N.
5. D -> F: D is the 4th letter, and F is the 6th letter. So, D + 2 = F.
6. R -> T: R is the 18th letter, and T is the 20th letter. So, R + 2 = T.
7. E -> G: E is the 5th letter, and G is the 7th letter. So, E + 2 = G.
8. N -> P: N is the 14th letter, and P is the 16th letter. So, N + 2 = P.

Therefore, CHILDREN is written as EJKNFJGP in the given code.