Question

Aflati numerele rationale pozitive a,b,c, stiind ca a/3=b/5 , b/2= c/4 si a*b*c / a+b+c = 0, (3)

Answer 1

a/3 = b/5    a = 3b/5 = 0,6b
b/2 = c/4     c = 2b
a·b·c = 3b/5 ·b·2b = 1,2·b³
(a + b + c) = 3,6b
1,2b³/(3,6b) = b²/3 = 1/3     b² = 1     b = 1       a = 3/5     c = 2