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    Question

    The mean of 12 numbers is 15. When two additional

    numbers, x and y , are included, the average increases by 1. Given that the difference between x and y is 20, determine the value of y. 
    A 12 Correct Answer Incorrect Answer
    B 32 Correct Answer Incorrect Answer
    C 14 Correct Answer Incorrect Answer
    D 18 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Sum of 12 numbers = 12 X 15 = 180 Sum of 14 numbers = 14 X 16 = 224 So, x + y = 224 - 180 = 44 ----------(i) And, x - y = 20 -----------(ii) Solving (i) and (ii) , we get x = 32 and y = 12 Hence, option a.

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