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 250, 265 and 271. Find the average of all three numbers.
    A 101 Correct Answer Incorrect Answer
    B 141 Correct Answer Incorrect Answer
    C 131 Correct Answer Incorrect Answer
    D 121 Correct Answer Incorrect Answer
    E 111 Correct Answer Incorrect Answer

    Solution

    Let the three numbers be a, b and c respectively. According to question; (a + b + 2c) = 250 × 2 = 500……………..(1) (a + 2b + c) = 265 × 2 = 530……………..(2) (2a + b + c) = 271 × 2 = 542……………..(3) From equation (1), (2) and (3) 4 × (a + b + c) = 1572 a + b + c = 393 (a + b + c)/3 = 131

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