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Thread: Can you find the numbers

  1. 08-17-2006 #1
    Remasri
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    Can you find the numbers

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

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  2. 08-17-2006 #2
    jamesravid
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    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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