Find Difference between the Squares of Numbers? If

If the product of two numbers is 320 and thir ratio is 1:5 what the difference between the squares of these two numbers?

  1. 1430
  2. 1536
  3. 1616
  4. None of these
Desire Adnan Default Asked on 5th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 1536
    Explanation:-
    Given-
    The ratio of two numbers = 1 : 5
    Let two numbers be X  & 5 X
    The product of two numbers = 320
    Then, 5 X x X = 320
    X x X = 320/5
    X x X = 64
    Square root on both side,
    X = 8
    Then, the two numbers  X =  8 = 40  &5  X = 8 x 5 = 40

    Square of 8 = 8 x 8  = 64
    Square of 40 = 40 x 40  = 1600

    The difference between the square of these numbers = 1600 – 64
    = 1536

    Hence, the answer is (2) 1536.

    Anurag Mishra Professor Answered on 5th August 2015.
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