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    Question

    The difference between the squares of two numbers is

    184, and their sum is 46. What is the larger number?
    A 28 Correct Answer Incorrect Answer
    B 25 Correct Answer Incorrect Answer
    C 18 Correct Answer Incorrect Answer
    D 21 Correct Answer Incorrect Answer

    Solution

    Let the numbers be 'a' and 'b' such that (a > b)
    a + b = 46 --------- (I)
    And, a2 - b2 = 184
    Or, (a + b) (a - b) = 184
    Or, 46 X (a - b) = 184
    Or, a - b = 4 -------- (II)
    On adding equation I and II,
    We get, a + b + a - b = 46 + 4
    Or, 2a = 50
    Or, 'a' = 25

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