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).
Solution
62 × 186 − 60 × 185 = k + 18 + k − 12
2k + 6 = 11,532 − 11,100 = 432
2k = 426
k = 213
k − 95 = 118
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