In a certain code language, 'THORP' is written as 'EQJGI' and 'HEART' is written as 'QTXGE'. How will 'TENDER' be written in that language?

Let's analyze the relationship between the words and their codes:
Pair 1: THORP → EQJGI
Let's reverse the word 'THORP' first: PROHT
Now compare it with the code 'EQJGI':

P(16)−11=E(5)? No, let's look at reverse letter shifts:

T(20)→I(9) [Last letter of code] →20−11=9

H(8)→G(7) [Fourth letter of code] →8−1=7
Let's try writing the word completely in reverse order and looking at forward/backward shifts:
Word: THORP
Let's check cross shifts:

First letter T(20)→E(5) (No)
Let's look at:

T(20)→G(7) (Opposite)

H(8)→S(19) (Opposite)
What if the code is read from right to left? Code reversed: IGJQE

T(20)−1=S(19)→ Opposite is H?
Let's examine simple direct positional differences from back to front:

P(16)−11=5(E)

R(18)−1=17(Q)

O(15)−5=10(J)

H(8)−1=7(G)

T(20)−11=9(I)
Pattern of shifts on reversed word: −11,−1,−5,−1,−11

Let's test this logic on HEART → QTXGE:
Reverse of HEART = TRAEH

T(20)−11=9(I)

=Q
So this is not the right pattern.

Let's try another approach:

T(20)→E(5)

H(8)→Q(17)

O(15)→J(10)

R(18)→G(7)

P(16)→I(9)
Notice the sums:

T(20)+E(5)=25

H(8)+Q(17)=25

O(15)+J(10)=25

R(18)+G(7)=25

P(16)+I(9)=25
Wow! The sum of the positional values of the letter and its corresponding code letter is exactly 25.
Mathematically: Code Value=25−Original Value (If value is ≥25, wrap around cyclically).

Let's check HEART → QTXGE:

H(8)→25−8=17=Q

E(5)→25−5=20=T

A(1)→25−1=24=X

R(18)→25−18=7=G

T(20)→25−20=5=E
The pattern is perfectly consistent!

Now let's find the code for TENDER:

T(20)→25−20=5=E

N(14)→25−14=11=K

D(4)→25−4=21=U

E(5)→25−5=20=T

R(18)→25−18=7=G
Wait, let's look at the letters in TENDER: T, E, N, D, E, R

T(20)→25−20=5=E

E(5)→25−5=20=T

N(14)→25−14=11=K

D(4)→25−4=21=U

E(5)→25−5=20=T

R(18)→25−18=7=G

Putting it together: ETKUTG.