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    Question

    A, B, C, D and E are five consecutive even numbers. If

    the sum of 'A' and 'D' is 162, what is the sum of all the numbers?
    A 400 Correct Answer Incorrect Answer
    B 380 Correct Answer Incorrect Answer
    C 420 Correct Answer Incorrect Answer
    D 410 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the five consecutive even numbers be: A = x B = x + 2 C = x + 4 D = x + 6 E = x + 8

    Given: A + D = 162 ⇒ x + (x + 6) = 162 ⇒ 2x + 6 = 162 ⇒ 2x = 156 ⇒ x = 78 Now find all the numbers: A = 78, B = 80, C = 82, D = 84, E = 86 Sum of all = 78 + 80 + 82 + 84 + 86 = 410

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