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The sum of five numbers is 655. The average of the first two numbers is 75 and the third number is 122. Find the average of the remaining two numbers?
Question

The sum of five numbers is 655. The average of the first two numbers is 75 and the third number is 122. Find the average of the remaining two numbers?

A.

198

B.

197

C.

192.5

D.

191.5

Correct option is D

Given:

The sum of five numbers = 655

The average of the first two numbers = 75

The third number = 122

We need to find the average of the remaining two numbers.

Formula Used:

Sum of first two numbers = 2 × Average of first two numbers

Sum of remaining two numbers = Total sum - Sum of first three numbers

Average of remaining two numbers = Sum of remaining two numbers2\frac{\text{Sum of remaining two numbers}}{2}​​

Solution:

Sum of first two numbers = 2 × 75 = 150

Sum of first three numbers = 150 + 122 = 272

Sum of remaining two numbers = 655 − 272 = 383

Average of remaining two numbers = 3832\frac{383}{2}​ = 191.5

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