Question

daca {a,b,c} d.p {2,3,5} si 3a+b-c=3 , atunci aflati a,b si c​

Answer 1

Răspuns:

a/2=b/3=c/5=k

a=2k

b=3k

c=5k

3×2k+3k-5k=3

6k+3k-5k=3

4k=3

k=0,75

a=1,5

b=2,25

c=3,75

Answer 2

Răspuns:

a/2=b/3=c5(asta inseamna sa fie direct proportionale)

Apoi notam egalitatile cu k,adica a/2=b/3=c/5=k

De aici rezulta faptul ca a=2k,b=3k,c=5k.

Astfel 3a+b-c=3×2k+3k-5k=6k+3k-5k=4k

Dar 3a+b-c=3

Deci 4k=3 de unde rezulta k=3/4

Deci a=2×3/4=3/2=1.5

b=3×3/4=9/4=2.25

c=5×3/4=3.75