Question Number 211595 by BaliramKumar last updated on 14/Sep/24
Answered by mr W last updated on 14/Sep/24
$${m}^{\mathrm{2}} −{n}^{\mathrm{2}} =\mathrm{199} \\ $$$$\left({m}−{n}\right)\left({m}+{n}\right)=\mathrm{1}×\mathrm{199} \\ $$$${m}−{n}=\mathrm{1} \\ $$$${m}+{n}=\mathrm{199} \\ $$$$\Rightarrow{m}=\frac{\mathrm{1}+\mathrm{199}}{\mathrm{2}}=\mathrm{100},\:{n}=\frac{\mathrm{199}−\mathrm{1}}{\mathrm{2}}=\mathrm{99} \\ $$$$\Rightarrow{mn}=\mathrm{9900} \\ $$
Commented by BaliramKumar last updated on 14/Sep/24
$${thanks} \\ $$