In a certain code language, BUG is coded as 24 and TWO is coded as 52. What is the code for ONE in that language?

Let's look at the positional values of the letters in the English alphabet from right to left (opposite/reverse positional values where A=26,…,Z=1):
The formula for reverse position is: Reverse Position=27−Forward Position.

BUG:

B→27−2=25

U→27−21=6

G→27−7=20

Sum of reverse positions =25+6+20=51

This doesn't directly give 24. Let's try forward positions instead:

B=2,U=21,G=7→2+21+7=30.

Relationship: 30−6=24.

Let's check TWO with forward positions:

T=20,W=23,O=15→20+23+15=58.

Relationship: 58−6=52.

The logic is: Code=(Sum of forward alphabet positions)−6.

ONE:

O=15

N=14

E=5

Sum of positions =15+14+5=34

Applying the logic: 34−6=28.

Thus, ONE is coded as 28.