Răspuns:
Explicație pas cu pas:
[a, b, c] d.p [2, 3, 5]
a/2 = b/3 = c/5 = k
a = 2k; b = 3k; c = 5k
a+b+c = 60
2k + 3k + 5k = 60
10k = 60
k = 60 : 10 k = 6
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a = 2k = 2×6⇒ a = 12
b = 3k = 3×6 ⇒ b = 18
c = 5k = 5×6 ⇒ c = 30
Verific:
a+b+c = 12+18+30=60
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b)
2a = 3b = 6c = k
a = k/2; b = k/3; c = k/6
a+b+c = 108
k/2 + k/3 + k/6 = 108 l × 6
3k + 2k + k = 108 × 6
6k = 108 × 6 l : 6 ⇔ k = 108
a = k/2 = 108/2 ⇒ a = 54
b = 108/3 ⇒ b = 36
c = 108/6 ⇒ c = 18
Verific:
a+b=c = 54+36 + 18 = 108
