Question

Aflati numerele naturale a, b, c, d a caror suma este 300, stiind ca b-a= c-b= d-c= 30

Answer 1

a+b+c+d=300;
⇒b=30+a;
⇒c=30+b⇒c=30+30+a⇒c=60+a;
⇒d=30+c⇒d=30+60+a⇒d=90+a;
⇒a+30+a+60+a+90+a=300
⇒4a=300-[30+60+90]
⇒4a=300-180
⇒4a=120
⇒a=30;
⇒b=30+30⇒b=60;
⇒c=60+30⇒c=90;
⇒d=90+30⇒d=120;