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    Question

    If the difference of two numbers is 4 and the difference

    of their squares is 56, then the larger number is
    A 12 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 9 Correct Answer Incorrect Answer
    D 13 Correct Answer Incorrect Answer

    Solution

    Let the numbers be a and b, where a > b According to the question, a – b = 4 …...(i) a2 – b2 = 56 (a + b)(a – b) = 56 (a + b) = 56/(a - b) = 56/4 = 14 a + b = 14 ……….(ii) Adding (i) & (ii), we get 2a = 18, a = 9

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