Răspuns :

[tex]x \times 0.(8) = y \times 0.(6)[/tex]

[tex]x \times \frac{8}{9} = y \times \frac{6}{9} [/tex]

[tex] \frac{8x}{9} = \frac{6y}{9} [/tex]

[tex]8x \times 9 = 6y \times 9 [/tex]

/:18

[tex]4x = 3y[/tex]

[tex]x = \frac{3y}{4} [/tex]

[tex]x \times y = 108[/tex]

[tex] \frac{3y}{4} \times y = 108[/tex]

[tex]3 \times {y}^{2} = 108 \times 4[/tex]

[tex] {y}^{2} = \frac{108 \times 4}{3} = 36 \times 4 = {6}^{2} \times {4}^{2} [/tex]

[tex]y = \sqrt{ {6}^{2} \times {4}^{2} } = 6 \times 4 = 24[/tex]

[tex]x = \frac{3 \times 24}{4} = 3 \times 6 = 18[/tex]