Question Number 196413 by a.lgnaoui last updated on 24/Aug/23
$$\mathrm{determiner}\:\:\boldsymbol{\mathrm{a}}\:\mathrm{et}\:\boldsymbol{\mathrm{b}} \\ $$$$ \\ $$
Commented by a.lgnaoui last updated on 24/Aug/23
Commented by AST last updated on 24/Aug/23
$${a}\left({b}+\mathrm{1}\right)=\mathrm{32}…\left({i}\right);{b}\left({a}+\mathrm{1}\right)=\mathrm{35}…\left({ii}\right) \\ $$$$\Rightarrow{b}−{a}=\mathrm{3}\Rightarrow{a}\left(\mathrm{4}+{a}\right)={a}^{\mathrm{2}} +\mathrm{4}{a}=\mathrm{32} \\ $$$$\Rightarrow{a}=−\mathrm{8}\:{or}\:\mathrm{4}\Rightarrow\left({a},{b}\right)=\left(−\mathrm{8},−\mathrm{5}\right);\left(\mathrm{4},\mathrm{7}\right) \\ $$
Commented by a.lgnaoui last updated on 24/Aug/23
$$\mathrm{exact}\:\mathrm{thanks} \\ $$