The sum of five numbers is 655. The average of the first two numbers is 75 and the third number is 128. Find the average of the remaining two numbers?

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  1. 203
  2. 204
  3. 188.5
  4. 189.5

Answer (Detailed Solution Below)

Option 3 : 188.5
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Detailed Solution

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Given:

Sum of five numbers = 655

Average of the first two numbers = 75

Third number = 128

Formula Used:

Average = Sum of numbers / Total numbers

Calculation:

Sum of the first two numbers = Average × 2

⇒ Sum of the first two numbers = 75 × 2 = 150

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

⇒ Sum of the remaining two numbers = 655 - (150 + 128)

⇒ Sum of the remaining two numbers = 655 - 278 = 377

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

⇒ Average of the remaining two numbers = 377 / 2

⇒ Average of the remaining two numbers = 188.5

The average of the remaining two numbers is 188.5.

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