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

To solve the problem, we need to determine the pattern used to encode the word "TEACHER" as "VGCEJGT" and then apply the same pattern to the word "CHILDREN."

1. Compare each letter in "TEACHER" with the corresponding letter in "VGCEJGT":

   • T -> V
   • E -> G
   • A -> C
   • C -> E
   • H -> J
   • E -> G
   • R -> T

2. Determine the shift for each letter:

   • T to V: T is the 20th letter, V is the 22nd letter. Shift of +2.
   • E to G: E is the 5th letter, G is the 7th letter. Shift of +2.
   • A to C: A is the 1st letter, C is the 3rd letter. Shift of +2.
   • C to E: C is the 3rd letter, E is the 5th letter. Shift of +2.
   • H to J: H is the 8th letter, J is the 10th letter. Shift of +2.
   • E to G: E is the 5th letter, G is the 7th letter. Shift of +2.
   • R to T: R is the 18th letter, T is the 20th letter. Shift of +2.

3. The pattern is a shift of +2 for each letter.

4. Apply the same shift to the word "CHILDREN":

   • C -> E (C is the 3rd letter, E is the 5th letter)
   • H -> J (H is the 8th letter, J is the 10th letter)
   • I -> K (I is the 9th letter, K is the 11th letter)
   • L -> N (L is the 12th letter, N is the 14th letter)
   • D -> F (D is the 4th letter, F is the 6th letter)
   • R -> T (R is the 18th letter, T is the 20th letter)
   • E -> G (E is the 5th letter, G is the 7th letter)
   • N -> P (N is the 14th letter, P is the 16th letter)

5. Therefore, "CHILDREN" is written as "EJKNFTGP" in that code.