Question

a)determinati nr n astfel incat 33a =21 b si a b = n supra 44
b)determinati nr n astfel incat 55a =5b si a supra b = n supra 66

Answer 1

Răspuns:

a) 28; b) 6

Explicație pas cu pas:

a)

$33a = 21b \iff 11a = 7b \iff \frac{a}{b} = \frac{7}{11} \\ \frac{a}{b} = \frac{n}{44} \iff \frac{7}{11} = \frac{n}{44} \\ n = \frac{7 \cdot 44}{11} \implies \bf n = 28$

b)

$55a = 5b \iff 11a = b \iff \frac{a}{b} = \frac{1}{11} \\ \frac{a}{b} = \frac{n}{66} \iff \frac{1}{11} = \frac{n}{66} \\ n = \frac{66}{11} \implies \bf n = 6$