Question

{a,b,c} direct proportionale cu {1/12,1/10,1/6} a+b+c=7
determinati a,b,c


DAU COROANA!!!!!!

Answer 1

Răspuns:

{a,b,c} direct proportionale cu {1/12,1/10,1/6} =>

a/(1/12) = b/(1/10) = c/(1/6) = k

a = k/12

b = k/10

c = k/6

a + b + c = 7

⁵⁾k/12 + ⁶⁾k/10 + ¹⁰⁾k/6 = ⁶⁰⁾7

5k + 6k + 10k = 420

21k = 420

k = 20

a = 20/12 = 5/3

b = 20/10 = 2

c = 20/6 = 10/3

Verificare :

5/3 + ³⁾2 + 10/3 =

= (5 + 6 + 10)/3

= 21/3

= 7