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The sum of five numbers is 655. The average of the first two numbers is 75 and the thirdnumber is 107. 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 thirdnumber is 107. Find the average of the remaining two numbers?

A.

199

B.

200

C.

182

D.

183

Correct option is A

Given:

Sum of five numbers = 655

Average of the first two numbers = 75

The third number = 107

Formula Used:

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

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 = 75 × 2 = 150

Sum of first three numbers = 150 + 107 = 257

Sum of remaining two numbers = 655 − 257 = 398

Average of remaining two numbers = 3982\frac{398}{2}​ = 199

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