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    Question

    There are three numbers such that when the average of

    any of the two numbers is added with the third number, sum obtained will be 164, 176 and 182. Find the average of all three numbers.
    A 86 Correct Answer Incorrect Answer
    B 87 Correct Answer Incorrect Answer
    C 80 Correct Answer Incorrect Answer
    D 88 Correct Answer Incorrect Answer
    E 72 Correct Answer Incorrect Answer

    Solution

    Let the three numbers be a, b and c respectively. According to question; (a + b + 2c) = 164 × 2 = 328……………..(1) (a + 2b + c) = 176 × 2 = 352……………..(2) (2a + b + c) = 182 × 2 = 364……………..(3) From equation (1), (2) and (3) 4 × (a + b + c) = 1044 a + b + c = 261 (a + b + c)/3 = 87

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