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    Question

    The average of 9 scores is 45. If two new scores are added

    and their average is 'x', the overall average becomes 20% more than the previous average. Find the value of 'x'.
    A 72.5 Correct Answer Incorrect Answer
    B 56.1 Correct Answer Incorrect Answer
    C 50.5 Correct Answer Incorrect Answer
    D 94.5 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of 9 scores = 9 × 45 = 405

    New average of all the numbers = 45 × 1.2 = 54

    So, sum of 11 numbers = 54 × 11 = 594

    So, average of two new scores = (594 - 405) ÷ 2 = 94.5

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