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    Question

    A set consists of four consecutive even numbers and

    three consecutive odd numbers. The smallest even number is three times the value of the smallest odd number. The total sum of these seven numbers is 315. Determine the largest even number in the set.
    A 40 Correct Answer Incorrect Answer
    B 20 Correct Answer Incorrect Answer
    C 95 Correct Answer Incorrect Answer
    D 87 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let smallest odd number = x

    Then smallest even number = 3x

    Numbers: (x, x+2, x+4) and (3x, 3x+2, 3x+4, 3x+6)

    Sum = x + (x+2) + (x+4) + 3x + (3x+2) + (3x+4) + (3x+6) = 315

    11x + 18 = 315

    11x = 297

    x = 27

    Largest even number = 3x + 6 = 81 + 6 = 87

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