Question

produsul a doua nr.este 2540 .Daca micsorez aldoilea factor cu 100,produsul devine 1540.afla cele doua nr.

Answer 1

a×b = 2540
a×(b-100)=1540

=>
 $b-100 = \frac{1540}{a} \\ b = \frac{1540}{a} + 100$

inlocum in prima relatie:
$a*( \frac{1540}{a} + 100) = 2540 \\ 1540 + 100a = 2540 \\ 100a = 2540-1540 \\ a = \frac{1000}{100} \\ a = 10$

=> 10×b=2540 => b = 2540:10 => b = 254

Deci, numerele sunt: 10 si 254.