The sum of five numbers is 655. The average of the first two numbers is 76 and the third number is 106. Find the average of the remaining two numbers?

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  1. 183
  2. 182
  3. 198.5
  4. 199.5

Answer (Detailed Solution Below)

Option 3 : 198.5
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Given:

Sum of five numbers = 655

Average of the first two numbers = 76

Third number = 106

Formula Used:

Average = (Sum of numbers) / (Number of numbers)

Total sum of the first two numbers = Average × 2

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

Average of the remaining two numbers = (Sum of the remaining two numbers) / 2

Calculation:

Total sum of the first two numbers = 76 × 2

⇒ Total sum of the first two numbers = 152

Sum of the remaining two numbers = 655 - (152 + 106)

⇒ Sum of the remaining two numbers = 655 - 258

⇒ Sum of the remaining two numbers = 397

Average of the remaining two numbers = 397 / 2

⇒ Average of the remaining two numbers = 198.5

The average of the remaining two numbers is 198.5.

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