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    5. Sum of squares of three consecutive numbers is 1877. Find the sum of first and third number.

    Question

    Sum of squares of three consecutive numbers is 1877.

    Find the sum of first and third number.
    A 32 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 44 Correct Answer Incorrect Answer
    D 50 Correct Answer Incorrect Answer

    Solution

    Let the numbers be (x – 1), x and (x + 1) => (x – 1)2 + x2 + (x + 1)2 = 1877 => x2 – 2x + 1 + x2 + x2 + 2x + 1 = 1877 => 3x2 = 1877 - 2 => x2 = 1875/3 => x2 = 625 => x = 25 Required sum = (25 – 1) + (25 + 1) = 50

    Practice Next
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    Relevant for Exams:

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