What will be the product of two numbers? If

The sum of square of two numbers is 68 and the square of their difference is 36. The product of the two numbers is

  1. 58
  2. 104
  3. 32
  4. 16
Monis Rasool Professor Asked on 14th November 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 16

    Explanation:-

    Let the two numbers are X and Y
    The sum of square of two numbers = 68
    Then, X² + Y² = 68          ……………… (1)
    The square of their difference = 36
    Then, (X – Y)² = 36
    X² + Y² – 2 X Y = 36
    Put the value of X² + Y² = 68
    68 – 2 X Y = 36
    – 2 X Y = 36 – 68
    – 2 X Y = – 32
    X Y = 32/2
    X Y = 16

    Then, the product of their is 16.

    Hence, the answer is (4) 16

    Anurag Mishra Professor Answered on 14th November 2015.
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