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Dacă a supra b = 2 supra 3 atunci a+b supra b-a = cu...?

Răspuns :


[tex] \frac{a}{b} = \frac{2}{3} \\ \frac{a}{2} = \frac{b}{3} = k \\ a = 2k \\ b = 3k \\ a + b = 2k + 3k = 5k \: \\ b - a = 3k - 2k = k[/tex]
a/2 = b/3 = k   deci a=2k  si  b=3k

(a+b) / (b-a) = (2k+3k) / (3k-2k) = 5k / k = 5