Question

The sum of five numbers is 655. The average of the first two numbers is 76 and the third number is 104. Find the average of the remaining two numbers?

• A. 181
• B. 199.5
• C. 200.5
• D. 180

Answer 1

Answer:

B. 199.5

The average of the remaining two numbers is 199.5.

1. Find the sum of the first two numbers:
   $\text{Sum} = \text{Average} \times \text{Count} = 76 \times 2 = \mathbf{152}$

2. Subtract the known numbers from the total sum:
   The sum of all five numbers is 655. Subtracting the first two numbers ($152$) and the third number ($104$) gives the sum of the last two numbers:
   $\text{Sum of remaining two} = 655 - 152 - 104 = \mathbf{399}$

3. Calculate the average of the remaining two numbers:
   $\text{Average} = \frac{399}{2} = \mathbf{199.5}$