Răspuns :
b-a=18
a/b=2/5
a=2b/5
b-2b/5=18 aducem la acelasi numitor
5b-2b=90
3b=90
b=30
a=2*30/5= 2*6=12
a/b=2/5
a=2b/5
b-2b/5=18 aducem la acelasi numitor
5b-2b=90
3b=90
b=30
a=2*30/5= 2*6=12
x = numarul mic
x+18 = numarul mare
[tex]\dfrac{x}{x+18}=\dfrac25[/tex] scadem numaratorii din numitori si obtinem:
[tex]\dfrac{x}{18}=\dfrac23\Rightarrow x=12\ numarul\ mic;\ 12+18=30\ numarul\ mare[/tex]
x+18 = numarul mare
[tex]\dfrac{x}{x+18}=\dfrac25[/tex] scadem numaratorii din numitori si obtinem:
[tex]\dfrac{x}{18}=\dfrac23\Rightarrow x=12\ numarul\ mic;\ 12+18=30\ numarul\ mare[/tex]