Question

Diferenta a 2 numere este egala cu 40. Aflati numerele, stiind ca 1/3 din primul reprezinta 2/5 din celalalt.

Answer 1

a-b=40
a·1/3=b·2/5=k
⇒a·1/3=k⇒a=k/1/3⇒a=k·3⇒a=3k;
⇒b·2/5=k⇒b=k/2/5⇒b=k·5/2⇒b=5k/2;
⇒3k-5k/2=40
⇒6k/2-5k/2=40
⇒k/2=40
⇒k=2·40
⇒k=80;
⇒a=3k⇒a=3·80⇒a=240;
⇒b=5k/2⇒b=5·80/2⇒b=5·40⇒b=200;