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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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