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Daca numerele a,b,c sunt direct proportionale cu numerele 3,4,5 si a+b+c=36 ,atunci a= b= c=

Răspuns :

Salut,

{a;b;c} dp {3;4;5;}

a/3 = b/4 = c/5 = k.

a/3 = k → a = 3k.
b/4 = k → b = 4k.
c/5 = k → c = 5k.

a+b+c = 36
3k+4k+5k = 36
12k = 36
k = 36/12
k = 3.

a = 3k → a = 3•3 → a = 9.
b = 4k → b = 4•3 → b = 12.
c = 5k → c = 5•3 → c = 15.


Succes!
a+b+c=36
(a,b,c)d.p(3,4,5)
a/3=b/4=c/5=k
a=3k
b=4k
c=5k
3k+4k+5k=36
12k=36
k=36:12
k=3
a=3k=9
b=4k=12
c=5k=15
Proba : 9+12+15=36