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    Question

    David Warner has an average score of 82 runs in 140

    innings. The highest runs scored by him in an innings exceed his lowest score by 210 runs. If the runs scored in these two innings are removed, then his average decreases by 3. Find the highest runs scored by him in an innings.
    A 328 Correct Answer Incorrect Answer
    B 480 Correct Answer Incorrect Answer
    C 242 Correct Answer Incorrect Answer
    D 220 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let the highest and lowest runs scored by David Warner be ‘x’ and ‘y’ respectively.
    Total runs scored by him in 140 innings = 140 × 82 = 11480
    Runs scored by him in 138 innings = (82 - 3) × 138 = 79 × 138 = 10962
    So, x + y = 11480 – 10962 = 518
    And, x – y = 210
    So, x = (518 + 210)/2 = 364

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