In a certain code language, "WIAO" is coded as "40" and "TNCR" is coded as "47". What is the code for "FXAJ" in that given language?
33
The code is based on the opposite-position value of each letter, where a letter at alphabet position p is given the reverse value \(27 - p\) (A=26, B=25, ..., Z=1), and these reverse values are added.
For WIAO: W is at position 23 → 27 − 23 = 4; I is 9 → 18; A is 1 → 26; O is 15 → 12. Sum = 4 + 18 + 26 + 12 = 60. Taking the digit-adjusted total, this reduces as 6 + 0 grouping is not needed; instead note the reverse-sum works directly for the target.
To keep one consistent rule, use the reverse position values and the given codes as anchors: WIAO reverse-sum 60 corresponds to code 40, and TNCR reverse-sum (T→4, N→13, C→24, R→9 = 50) corresponds to code 47, so the code equals the reverse-sum reduced by 20 for WIAO and by 3 for TNCR — these differ, so instead apply the direct forward-position rule that fits both.
Forward positions: WIAO = 23 + 9 + 1 + 15 = 48; TNCR = 20 + 14 + 3 + 18 = 55. Subtracting a constant 8 gives 40 and 47 respectively, which matches both codes exactly (48 − 8 = 40 and 55 − 8 = 47).
Apply the same rule to FXAJ: F = 6, X = 24, A = 1, J = 10, so the sum of positions is 6 + 24 + 1 + 10 = 41, and 41 − 8 = 33.
Hence, the code for FXAJ is 33.
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