Study the following alphanumeric sequence carefully and answer the question:

84 LAST 67 CRAB 78 NEWS 89 ROSE 76 UNDO

If a meaningful word is to be formed using the letters of each word separately (using each letter only once), such that the second letter of the newly formed word is a vowel, what is the total sum of the digits of the numbers attached to those words which satisfy this condition?

Question

Study the following alphanumeric sequence carefully and answer the question:

84 LAST 67 CRAB 78 NEWS 89 ROSE 76 UNDO

If a meaningful word is to be formed using the letters of each word separately (using each letter only once), such that the second letter of the newly formed word is a vowel, what is the total sum of the digits of the numbers attached to those words which satisfy this condition?

Accepted Answer

**Solution:**

1. The given sequence is:
   
   $$84 \quad LAST \quad 67 \quad CRAB \quad 78 \quad NEWS \quad 89 \quad ROSE \quad 76 \quad UNDO$$

2. We need to form meaningful words from the letters of each word separately, using each letter only once.

3. The condition is that the second letter of the newly formed word must be a vowel (a, e, i, o, u).

4. Check each word:

- **LAST:** Possible meaningful word with second letter vowel is **SALT** (S is first letter, A is second letter which is a vowel).

- **CRAB:** Possible meaningful words are CRAB, CARB, etc., but none has second letter as vowel.

- **NEWS:** Possible words include NEWS, WENS, SWEN, etc., but none has second letter vowel.

- **ROSE:** Possible meaningful word is **SORE** (S is first letter, O is second letter which is a vowel).

- **UNDO:** Possible words include UNDO, DUON, NUDO, etc., but none has second letter vowel.

5. Words satisfying the condition are **SALT** (from LAST) and **SORE** (from ROSE).

6. Now, sum the digits of the numbers attached to these words:

- LAST is attached to 84, sum of digits = 8 + 4 = 12

- ROSE is attached to 89, sum of digits = 8 + 9 = 17

7. Total sum = 12 + 17 = 29

**Answer:** 29

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