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Raportul dintre triplul unui numar si dublul altui numar este 3/5, iar suma celor doua numere este 210. Aflati numerele.
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Răspuns :

[tex] \frac{3a}{2b} = \frac{3}{5} [/tex]

[tex]3a \times 5 = 2b \times 3[/tex]

[tex]15a = 6b[/tex]

[tex]a = \frac{6b}{15} [/tex]

[tex]a = \frac{2b}{5} [/tex]

[tex]a + b = 210[/tex]

[tex] \frac{2b}{5} + b = 210 \: | \times 5[/tex]

[tex]2b + 5b =1050[/tex]

[tex]7b = 1050[/tex]

[tex]b = \frac{1050}{7} [/tex]

[tex]b = 150[/tex]

[tex]a = \frac{2b}{5} [/tex]

[tex]a = \frac{2 \times 150}{5} [/tex]

[tex]a = \frac{300}{5} [/tex]

[tex]a = 60[/tex]