The average of A and B is 400 and the average of C and D is 600 the average of A,B,C and D is:

Options

A. 500
B. 450
C. 525
D. 625

Answer

To find the average of A, B, C, and D, we can follow these steps:

1. **Understand the given averages**:
- The average of A and B is given as 400.
- The average of C and D is given as 600.

2. **Calculate the total for A and B**:
- The average of A and B is calculated as:
\[ \text{Average} = \frac{A + B}{2} \]
- Therefore, we can express this as:
\[ A + B = 2 \times 400 = 800 \]

3. **Calculate the total for C and D**:
- The average of C and D is calculated as:
\[ \text{Average} = \frac{C + D}{2} \]
- Thus, we can express this as:
\[ C + D = 2 \times 600 = 1200 \]

4. **Calculate the total for A, B, C, and D**:
- Now we can find the total of A, B, C, and D by adding the totals we found:
\[ A + B + C + D = (A + B) + (C + D) = 800 + 1200 = 2000 \]

5. **Calculate the average of A, B, C, and D**:
- The average of A, B, C, and D is calculated as:
\[ \text{Average} = \frac{A + B + C + D}{4} \]
- Substituting the total we calculated:
\[ \text{Average} = \frac{2000}{4} = 500 \]

Thus, the average of A, B, C, and D is **500**.