The sum of five numbers is 655. The average of the first two numbers is 78 and the third number is 110. Find the average of the remaining two numbers?

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  1. 194.5
  2. 189
  3. 195.5
  4. 188

Answer (Detailed Solution Below)

Option 1 : 194.5
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Detailed Solution

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Given:

Sum of five numbers = 655

Average of first two numbers = 78

Third number = 110

Formula used:

Sum = Average × Total numbers

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

Calculation:

Sum of first two numbers = 78 × 2 = 156

Sum of first three numbers = 156 + 110 = 266

Sum of remaining two numbers = 655 - 266 = 389

Average of remaining two numbers = 389 / 2

⇒ Average = 194.5

∴ The correct answer is option (1).

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