The sum of five numbers is 655. The average of the first two numbers is 77 and the third number is 123. Find the average of the remaining two numbers?

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  1. 189
  2. 201
  3. 190
  4. 200

Answer (Detailed Solution Below)

Option 1 : 189
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Detailed Solution

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Given:

The sum of five numbers is 655.

The average of the first two numbers is 77.

The third number is 123.

Formula Used:

Sum of numbers = Average × Number of terms

Average = Sum of numbers / Number of terms

Calculation:

Sum of the first two numbers = 77 × 2

Sum of the first two numbers = 154

Sum of the first three numbers = 154 + 123

Sum of the first three numbers = 277

Sum of the remaining two numbers = 655 - 277

Sum of the remaining two numbers = 378

Average of the remaining two numbers = 378 / 2

⇒ Average of the remaining two numbers = 189

The average of the remaining two numbers is 189.

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