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    Question

    Average score of 60 contestants is 185. Two late entries

    with scores (k + 18) and (k - 12) join, and the average becomes 186. Find (k - 95).
    A 116 Correct Answer Incorrect Answer
    B 122 Correct Answer Incorrect Answer
    C 118 Correct Answer Incorrect Answer
    D 120 Correct Answer Incorrect Answer
    E 124 Correct Answer Incorrect Answer

    Solution

    62 Γ— 186 βˆ’ 60 Γ— 185 = k + 18 + k βˆ’ 12
    2k + 6 = 11,532 βˆ’ 11,100 = 432
    2k = 426
    k = 213
    k βˆ’ 95 = 118

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