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Thread: Can you find the numbers

  1. #1
    Contributing Member
    Join Date
    Jul 2006
    Answers
    56

    Can you find the numbers

    The difference between the squares of two consecutive positive whole numbers is 25. Can you find the two numbers?


  2. #2
    Expert Member
    Join Date
    Jun 2006
    Answers
    410

    Re: Can you find the numbers

    let us say first number is 'a' then the other number is a+1.

    It is given that

    (a+1)^2 - a^2 = 25
    => (a+1+a) (a+1-a) = 25 [ Since a^2 - b^2 = (a + b) (a - b) ]

    2a +1 = 25
    Hence a= 12
    Those numbers are 12 and 13.


    --- James

    Last edited by jamesravid; 08-17-2006 at 09:06 AM.

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