The sum of five numbers is 655. The average of the first two numbers is 75 and the third number is 114. Find the average of the remaining two numbers?

Given:

Sum of five numbers = 655

Average of first two numbers = 75

Third number = 114

Formula used:

Sum of numbers = Average × Number of terms

Remaining sum = Total sum - (Sum of first two numbers + Third number)

Average = Remaining sum ÷ Number of terms

Calculation:

Sum of first two numbers = 75 × 2 = 150

⇒ Remaining sum = 655 - (150 + 114)

⇒ Remaining sum = 655 - 264

⇒ Remaining sum = 391

⇒ Average of remaining two numbers = 391 ÷ 2

⇒ Average = 195.5

∴ The correct answer is option (2).