Răspuns:
a + b + c = 1
0,1 = 1/10
10a = 5b/2 = 3c = k
a = k/10
b = 2k/5
c = k/3
Amplificam sa aducem la acelasi numitor:
k/10 + 2k/5 + k/3 = 1
(3k + 2x6k + 10k)/30 = 1
25k=30
k = 30/25 => k = 6/5
Aflam cele trei numere:
a = k/10 => a = 6/5 x 1/10 => a = 3/25 => a = 0,12
b = 2k/5 => b = (2x6/5)/5 => b = 12/25 => b = 0,48
c = k/3 => c = (6/5)/3 => c = 2/5 => c = 0,4
Facem proba:
0,12 + 0,48 + 0,4 = 1
