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    Question

    The difference between two numbers is 6, and the

    difference between the squares of these numbers is 180. What is the total of these two numbers?
    A 30 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 40 Correct Answer Incorrect Answer
    D 36 Correct Answer Incorrect Answer

    Solution

    Let the two numbers be ‘a’ and ‘b’ where a > b.
    We have, (a – b) = 6
    And (a2 – b2) = 180
    Also (a2 – b2) = (a + b) × (a – b)
    So, (a + b) = 180 ÷ 6 = 30

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