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Math Help - Question-1

  1. #1
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    Angry Question-1

    Question says;

    If A and B are positive numbers




    How many different numbers can a be?

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  2. #2
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    Hello,

    a^2-b^2=(a-b)(a+b)

    How many possibilities are there for a and b, being positive ?
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  3. #3
    Grand Panjandrum
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    Quote Originally Posted by johnerdem View Post
    Question says;

    If A and B are positive numbers




    How many different numbers can a be?

    You have \frac{a^2-b^2}{a-b}=10,\ a,b \in \mathbb{Z}_+

    So (as a \ne b ):

    a^2-b^2=10(a-b)\ \ \ \ \ ...(1)

    but a^2-b^2=(a+b)(a-b) , so (1) becomes:

    a+b=10\ \ \ \ \ ...(1)

    Now just enumerate the posibilities for a

    RonL
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