The number, whose square is equal to the difference of the squares of the numbers 68 and 32, is

Options

A. 36
B. 48
C. 60
D. 64

Answer

To solve the problem, we need to find the number whose square is equal to the difference of the squares of the numbers 68 and 32.

### Step-by-Step Solution:

1. **Identify the numbers**: We have two numbers, 68 and 32.

2. **Calculate the squares of the numbers**:
- Square of 68: \( 68^2 = 4624 \)
- Square of 32: \( 32^2 = 1024 \)

3. **Find the difference of the squares**:
\[ 68^2 - 32^2 = 4624 - 1024 = 3600 \]

4. **Let the unknown number be \( A \)**. According to the problem, we have:
\[ A^2 = 3600 \]

5. **Take the square root of both sides to find \( A \)**:
\[ A = \sqrt{3600} \]

6. **Calculate the square root**:
\[ \sqrt{3600} = 60 \]

7. **Conclusion**: The number whose square is equal to the difference of the squares of 68 and 32 is \( 60 \).

### Final Answer:
The number is **60**.