In each of the following questions , three statements of numbers following same rules are given . Find the rule and accordingly find the value of the number ?
If `5 xx 9 = 144 , 7 xx 8 = 151 , 4 xx 6 = 102` , then `2 xx 5 = ?`

Options

A. 73
B. 77
C. 37
D. 97

Explanation

To solve the problem, we need to identify the pattern or rule applied in the given statements. Let's analyze the statements one by one.

### Step 1: Analyze the first statement
The first statement is:
\[ 5 \, \text{xx} \, 9 = 144 \]

1. Calculate the sum of the two numbers:
\[ 5 + 9 = 14 \]

2. Calculate the difference between the two numbers:
\[ 9 - 5 = 4 \]

3. Combine these results:
- The first part is the sum (14) and the second part is the difference (4).
- Combine them as follows: \( 14 \) followed by \( 4 \) gives \( 144 \).

### Step 2: Analyze the second statement
The second statement is:
\[ 7 \, \text{xx} \, 8 = 151 \]

1. Calculate the sum:
\[ 7 + 8 = 15 \]

2. Calculate the difference:
\[ 8 - 7 = 1 \]

3. Combine these results:
- The first part is the sum (15) and the second part is the difference (1).
- Combine them as follows: \( 15 \) followed by \( 1 \) gives \( 151 \).

### Step 3: Analyze the third statement
The third statement is:
\[ 4 \, \text{xx} \, 6 = 102 \]

1. Calculate the sum:
\[ 4 + 6 = 10 \]

2. Calculate the difference:
\[ 6 - 4 = 2 \]

3. Combine these results:
- The first part is the sum (10) and the second part is the difference (2).
- Combine them as follows: \( 10 \) followed by \( 2 \) gives \( 102 \).

### Step 4: Apply the rule to find \( 2 \, \text{xx} \, 5 \)
Now we will apply the same rule to find \( 2 \, \text{xx} \, 5 \).

1. Calculate the sum:
\[ 2 + 5 = 7 \]

2. Calculate the difference:
\[ 5 - 2 = 3 \]

3. Combine these results:
- The first part is the sum (7) and the second part is the difference (3).
- Combine them as follows: \( 7 \) followed by \( 3 \) gives \( 73 \).

### Final Answer
Thus, the value of \( 2 \, \text{xx} \, 5 \) is:
\[ \boxed{73} \]