In a certain code language, "TEA" is written as "26" and "PEA" is written as…

2024

In a certain code language, "TEA" is written as "26" and "PEA" is written as "22". How is "TWO" written in that code language?

  1. A.

    34

  2. B.

    45

  3. C.

    58

  4. D.

    57

Show answer & explanation

Correct answer: C

In alphabet coding-decoding questions, each letter is assigned a fixed value equal to its position in the English alphabet, counting A as 1 through Z as 26. Where a code is formed from a word, the digits given are usually the sum of the position values of the letters that make up the word. The first step is always to test this sum-of-positions rule against the examples given, and only apply it to the new word once it fits both.

  1. Find the position values: T = 20, E = 5, A = 1.

  2. Add for TEA: 20 + 5 + 1 = 26, which matches the given code for TEA.

  3. Find the position values for PEA: P = 16, E = 5, A = 1.

  4. Add for PEA: 16 + 5 + 1 = 22, which matches the given code for PEA — confirming the sum-of-positions rule holds for both examples.

  5. Apply the same rule to TWO: T = 20, W = 23, O = 15.

  6. Add: 20 + 23 = 43, then 43 + 15 = 58.

Independently re-add in a different order (T + O first, then W): 20 + 15 = 35, 35 + 23 = 58 — the same total, confirming there is no arithmetic slip.

Thus, TWO is coded as 58.

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