If 9 + 7 = 58, 3 + 11 = 124
What is the value of 13 + 5 ?

Options

A. 38
B. 31
C. 174
D. 36

Explanation

To solve the problem, we need to identify the pattern in the given equations:

1. **Understanding the pattern**:
- The first equation is \(9 + 7 = 58\).
- The second equation is \(3 + 11 = 124\).
- We need to find the value of \(13 + 5\).

2. **Analyzing the first equation**:
- For \(9 + 7 = 58\):
- The sum of \(9\) and \(7\) is \(16\).
- The square of \(7\) is \(49\).
- If we add \(9\) (the first number) to \(49\) (the square of the second number), we get:
\[ 9 + 49 = 58 \]
- This confirms that the pattern holds for the first equation.

3. **Analyzing the second equation**:
- For \(3 + 11 = 124\):
- The sum of \(3\) and \(11\) is \(14\).
- The square of \(11\) is \(121\).
- If we add \(3\) (the first number) to \(121\) (the square of the second number), we get:
\[ 3 + 121 = 124 \]
- This confirms that the pattern holds for the second equation as well.

4. **Applying the pattern to \(13 + 5\)**:
- Now, we need to find \(13 + 5\):
- The square of \(5\) is \(25\).
- According to the identified pattern, we add \(13\) (the first number) to \(25\) (the square of the second number):
\[ 13 + 25 = 38 \]

5. **Conclusion**:
- Therefore, the value of \(13 + 5\) is \(38\).

**Final Answer**: \(38\)

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