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    The sum of five numbers is 655. The average of the first two numbers is 75 and the thirdnumber is 135. 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 135. Find the average of the remaining two numbers?

    A.

    210

    B.

    211

    C.

    ​185​​

    D.

    186

    Correct option is C

    Given:

    The sum of five numbers = 655

    Average of the first two numbers = 75

    The third number = 135

    Formula Used:

    Sum of first two numbers = Average × 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 + 135 = 285​

    Sum of remaining two numbers = 655 − 285 = 370​

    Average of remaining two numbers = 3702\frac{370}{2}​ = 185

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