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      Question

      For two numbers, the square of their sum is 1024 and the

      sum of their squares is 640. What is the product of the numbers?
      A 140 Correct Answer Incorrect Answer
      B 192 Correct Answer Incorrect Answer
      C 120 Correct Answer Incorrect Answer
      D 200 Correct Answer Incorrect Answer

      Solution

      Let the two numbers be 'a' and 'b' ATQ: (a + b)² = 1024 So, a² + b² + 2ab = 1024 Also, we have, a² + b² = 640 So, 2ab = 1024 - 640 = 384 So, ab = (384 ÷ 2) = 192

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