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My question is: Given that the equation $\,\frac{8}{3}x - a = \frac{9}{4}x + 123\,$ has positive integral solution where a is also positive integer, find the minimum possible value of a.

Please any guidance to solve this question would be helpful as even after trying a lot I was unable to solve it.

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    Do you mean $$\frac{8}{3}\,x$$ or $$\frac{8}{3x}$$ (and similarly with "9/4x")?2012-06-02
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    @user1296721 Please check I edited your question correctly2012-06-02
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    @– Zev Chonoles I meant the first one.2012-06-02
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    @DonAntonio:Thanks the edit you made is correct.2012-06-02

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