If in a certain language, “CRUEL” is coded as “YJGWP”, then how would “FROWN” be coded in the same code language?AVJNEMBVJMENCVJNFMDVJMFN
Question
If in a certain language,
"CRUEL" is coded as
"YJGWP", then how would
"FROWN" be coded in the same code language?
AVJNEMBVJMENCVJNFMDVJMFN
Solution
To solve this problem, we first need to understand the pattern or rule used to translate "CRUEL" into "YJGWP".
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Write down the positions of the letters in the alphabet. C is the 3rd letter, R is the 18th, U is the 21st, E is the 5th, and L is the 12th. Y is the 25th letter, J is the 10th, G is the 7th, W is the 23rd, and P is the 16th.
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Compare the positions. C (3) to Y (25) is a shift of +22, R (18) to J (10) is a shift of -8, U (21) to G (7) is a shift of -14, E (5) to W (23) is a shift of +18, and L (12) to P (16) is a shift of +4.
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The pattern seems to be alternating between adding and subtracting. The sequence of operations is +22, -8, -14, +18, +4.
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Apply the same pattern to "FROWN". F is the 6th letter, R is the 18th, O is the 15th, W is the 23rd, and N is the 14th.
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F (6) +22 = 28. Since there are only 26 letters in the alphabet, subtract 26 from 28 to get 2. The 2nd letter is B.
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R (18) -8 = 10. The 10th letter is J.
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O (15) -14 = 1. The 1st letter is A.
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W (23) +18 = 41. Subtract 26 from 41 to get 15. The 15th letter is O.
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N (14) +4 = 18. The 18th letter is R.
So, "FROWN" would be coded as "BJAOR" in the same code language.
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