n a certain language, if the word CRICKET is coded as DTLGPKA, then what is the code for the word FOOTBALL in that language?*GQRXGGSTGRQXGGSTGQRGGXSTGRQXGGTS

To decode the word FOOTBALL based on the coding method used for the word CRICKET being changed to DTLGPKA, let's analyze the coding pattern.

1. Break Down the Problem

We need to determine how each letter in CRICKET was transformed into the corresponding letter in DTLGPKA. Once we understand this pattern, we can apply it to the word FOOTBALL.

2. Relevant Concepts

To find a coding pattern, we can compare the letters in CRICKET and DTLGPKA by observing their positions in the alphabet:

• C = 3, R = 18, I = 9, C = 3, K = 11, E = 5, T = 20
• D = 4, T = 20, L = 12, G = 7, P = 16, K = 11, A = 1

3. Analysis and Detail

Let's calculate the shifts for each letter:

1. C to D: +1
2. R to T: +2
3. I to L: +3
4. C to G: +4
5. K to P: +5
6. E to K: +6
7. T to A: +7

This shows a pattern of increasing shifts (i.e., +1, +2, +3, +4, +5, +6, +7) for each subsequent letter.

Now, apply the same shifts to the word FOOTBALL:

• F = 6
• O = 15
• O = 15
• T = 20
• B = 2
• A = 1
• L = 12
• L = 12

Now apply the shifts:

1. F (6) + 1 = G (7)
2. O (15) + 2 = Q (17)
3. O (15) + 3 = R (18)
4. T (20) + 4 = X (24)
5. B (2) + 5 = G (7)
6. A (1) + 6 = G (7)
7. L (12) + 7 = S (19)
8. L (12) + 8 = T (20)

4. Verify and Summarize

The coding results calculated for FOOTBALL are:

• GQRXGGST

Final Answer

Thus, the code for the word FOOTBALL in that language is GQRXGGST.