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Numerele a si b sunt invers proportionale cu numerele 3 si respectiv 5 . Aflati cele doua numere daca 2a+2b=35

Răspuns :

a/[tex] \frac{1}{3} [/tex]=b/[tex] \frac{1}{5} [/tex]=k⇒3a=5b=k⇒a=k/3, b=k/5
relatia 2a+2b=35 va deveni
2k/3+2k/5=35⇒k=35x15/16
a=175/16
b=105/16