Question

La un nr adaugam 50. daca luam 3/5 din aceasta suma si adaugam 200 obtine numarul initial sa se caute nr initial

Answer 1

Notez cu x numarul

La x adaugam 50....
x+50

3/5 din (x+50)+200=x

$\frac{3}{5}(x+50)+200=x\\ \\ \frac{3(x+50)}{5}+\frac{200\cdot 5}{5}=x\\ \\ \frac{3x+150}{5}+\frac{1000}{5}=x\\ \\ \frac{3x+150+1000}{5}=x\\ \\ 3x+1150=5x~|-3x\\ \\ 1150=2x~|:2\\ \\ \boxed{x=575}$

Deci numarul x este 575



Facem verificarea...

(575+50)×3:5+200=575 ?
625×3:5=375 |·5
1875=1875





Asadar.. Numarul initial este 575