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Question Number 152692 by ZiYangLee last updated on 31/Aug/21

If b and h are two integers with b>h,  and b^2 +h^2 =b(a+h)+ah,  find the value of b.

$$\mathrm{If}\:{b}\:\mathrm{and}\:{h}\:\mathrm{are}\:\mathrm{two}\:\mathrm{integers}\:\mathrm{with}\:{b}>{h}, \\ $$ $$\mathrm{and}\:{b}^{\mathrm{2}} +{h}^{\mathrm{2}} ={b}\left({a}+{h}\right)+{ah}, \\ $$ $$\mathrm{find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{b}. \\ $$

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