`{:(A , B , C , D , E , F , G , H , I , J , K , L , M , N , O , P , Q , R ,S , T ,U , V , W ,X , Y , Z), (1 ,2 , 3 , 4 ,5, 6 , 7,8,9,10 , 11 , 12, 13, 14, 15 , 16 , 17 , 18 , 19, 20 , 21 ,22 , 23 , 24 , 25 , 26):}`
`(J)/(E) : 2 : : (X)/(H) : ?`

Options

A. 2
B. 3
C. `(23)/(7)`
D. 4

Explanation

To solve the analogy problem given, we need to find the value of \( \frac{X}{H} \) based on the relationship established by \( \frac{J}{E} = 2 \).

### Step-by-step Solution:

1. **Identify the Place Values:**
- The place value of each letter in the alphabet corresponds to its position.
- For example:
- \( J \) is the 10th letter, so its place value is \( 10 \).
- \( E \) is the 5th letter, so its place value is \( 5 \).

2. **Set Up the First Relationship:**
- We have \( \frac{J}{E} = 2 \).
- Substituting the place values, we get:
\[ \frac{10}{5} = 2 \]
- This confirms that the relationship holds true.

3. **Identify the Place Values for \( X \) and \( H \):**
- Now, we need to find the place values for \( X \) and \( H \):
- \( X \) is the 24th letter, so its place value is \( 24 \).
- \( H \) is the 8th letter, so its place value is \( 8 \).

4. **Set Up the Second Relationship:**
- We need to find \( \frac{X}{H} \):
\[ \frac{X}{H} = \frac{24}{8} \]

5. **Calculate the Value:**
- Now, perform the division:
\[ \frac{24}{8} = 3 \]

6. **Conclusion:**
- Therefore, the value that replaces the question mark is \( 3 \).

### Final Answer:
The answer to the analogy \( \frac{(X)}{(H)} : ? \) is \( 3 \).

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