Question

    The average of the first and second numbers is 20, while

    the average of the second and third numbers is 25. If the sum of the first and third numbers is 44, find the first number.
    A 45 Correct Answer Incorrect Answer
    B 50 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 45 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let, the number be a, b, and c respectively. According to the question, a+ b = 100 ... (1) b+ c = 108 ... (2) a + c = 106......(3) solve these equations From equation (1) and (3), Subtract to find  c - b = 4 ....(4) b = c - 4 substitute b from (1) and (3) a + c  = 44 a = 18

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