Question

se afle numerele a b c stiind ca multimile {a;b;c}si{3;5;7} sunt direct proportionale si a+b+c=1125.repede va rog

Answer 1

Răspuns

Explicație pas cu pas:

$\{a,b,c\}~direct~proportional~\{3,5,7\}\Rightarrow \dfrac{a}{3}=\dfrac{b}{5}=\dfrac{c}{7}=k\Rightarrow a=3k,b=5k,\\c=7k.\\a+b+c=1125\\3k+5k+7k=1125\\15k=1125\\\boxed{k=75}\\a=3k\Rightarrow \boxed{a=225}\\b=5k\Rightarrow \boxed{b=375}\\c=7k\Rightarrow \boxed{c=525}$

Answer 2

Răspuns

Explicație pas cu pas:

a/3 = b/5 = c/7 = k

a/3 = k

a = 3k

b/5 =k

b = 5k

c/7 = k

c = 7k

3k + 5k + 7k = 1125

15k = 1125

k = 75

a = 3k

a = 3 * 75

a = 225

b = 5k

b = 5 * 75

b = 375

c = 7k

c = 7 * 75

c = 525