Question

The sum of five numbers is 655. The average of the first two numbers is 76 and the third number is 105. Find the average of the remaining two numbers?

• A. 182
• B. 200
• C. 181
• D. 199

Answer 1

Answer:

D. 199

The average of the remaining two numbers is 199.

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

2. Calculate the combined total of the first three numbers:
   $\text{Total for first 3 numbers} = 152 (\text{first two}) + 105 (\text{third number}) = 257$

3. Find the sum of the remaining two numbers:
   $\text{Sum of remaining two} = \text{Total sum} - \text{Total of first three} = 655 - 257 = 398$

4. Calculate the average of the remaining two numbers:
   $\text{Average} = \frac{398}{2} = 199$