Question

Dada la proporción a / 2 = b / 3 y a + b = 20. Halla el valor de a y b.

Answer 1

Respuesta:

[tex] \frac{a}{2} = \frac{b}{3} \\ \frac{8}{2} = \frac{12}{3} \\ 4 = 4[/tex]

espero te sirva

Explicación paso a paso:

[tex] \frac{a}{2} = \frac{b}{3} \\ 3a = 2b \\ a = \frac{2b}{3} \\ a + b = 20 \\ \frac{2b}{3} + b = 20 \\ \frac{2b}{3} + \frac{3b}{3} = 20 \\ \frac{2b + 3b}{3} = 20 \\ \frac{5b}{3} = 20 \\ 5b = 60 \\ b = \frac{60}{5} = 12 \\ a + b = 20 \\ a + 12 = 20 \\ a = 20 - 12 \\ a = 8 \\ 12 + 8 = 20[/tex]