a×b = 2540
a×(b-100)=1540
=>
[tex]b-100 = \frac{1540}{a} \\ b = \frac{1540}{a} + 100[/tex]
inlocum in prima relatie:
[tex]a*( \frac{1540}{a} + 100) = 2540 \\ 1540 + 100a = 2540 \\ 100a = 2540-1540 \\ a = \frac{1000}{100} \\ a = 10[/tex]
=> 10×b=2540 => b = 2540:10 => b = 254
Deci, numerele sunt: 10 si 254.
