To encode a message, James first replaces each letter within the message with its
corresponding number, where A = 1, B = 2, · · · , Y = 25, and Z = 26. Next, James
multiplies each number by 3 and then subtracts 5, and continues this process a total
of n times. For example, when n = 2 the letter D is encoded to the number 16.
If James encoded a four letter message to the four numbers 367 205 853 1339, what
is the value of n that he used?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Question

07-06-2021
Mathematics

Answered

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To encode a message, James first replaces each letter within the message with its
corresponding number, where A = 1, B = 2, · · · , Y = 25, and Z = 26. Next, James
multiplies each number by 3 and then subtracts 5, and continues this process a total
of n times. For example, when n = 2 the letter D is encoded to the number 16.
If James encoded a four letter message to the four numbers 367 205 853 1339, what
is the value of n that he used?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Sagot :

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