Răspuns:
(a,b,c) dp (2,5,20) => a/2=b/5=c/20=K =>
a=2K
b=5K
c=20K
a+b+c=60
2K+5K+20K=60
27K=60
K=60/27(simplificam cu 3)
K=20/9
a=2*20/9 =》a=40/9
b=5*20/9 =》b=100/9
c=20*20/9 =》c=400/9
Răspuns: Ai rezolvarea mai jos
Explicație pas cu pas:
[tex]\bf \dfrac{a}{2} =\dfrac{b}{5} =\dfrac{c}{20} =k[/tex]
[tex]\bf a+b+c=60[/tex]
[tex]\bf \dfrac{a}{2}=k \implies a=2k[/tex]
[tex]\bf \dfrac{b}{5} =k \implies b=5k[/tex]
[tex]\bf \dfrac{c}{20} =k\implies c=20k[/tex]
Înlocuim si vom avea:
[tex]\bf 2k+5k+20k=60 \implies 27k=60\implies k=\dfrac{60}{27}\implies \boxed{\bf k = \dfrac{20}{9} }[/tex]
[tex]\bf a= 2\cdot \dfrac{20}{9}\implies \boxed{\bf a=\dfrac{40}{9}}[/tex]
[tex]\bf b= 5\cdot\dfrac{20}{9}\implies \boxed{\bf b=\dfrac{100}{9}}[/tex]
[tex]\bf c=20\cdot \dfrac{20}{9}\implies \boxed{\bf c=\dfrac{400}{9}}[/tex]
Bafta multa !