Question

Determine os valores de a e b na proporção a/6 = b/24, sabendo que a + b = 20.
Preciso da conta, por favor!

Answer 1

$\dfrac{a}{6}=\dfrac{b}{24}=\dfrac{a+b}{6+24}\\ \\ \dfrac{a}{6}=\dfrac{b}{24}=\dfrac{\overbrace{a+b}^{20}}{30}\\ \\ \dfrac{a}{6}=\dfrac{b}{24}=\dfrac{20}{30}\\ \\ \dfrac{a}{6}=\dfrac{b}{24}=\dfrac{2}{3}\\ \\ \\ \dfrac{a}{6}=\dfrac{2}{3}\\ \\ a=\dfrac{6 \times 2}{3}\\ \\ a=\dfrac{12}{3}\\ \\ \boxed{a=4}\\ \\ \\ a+b=20\\ \\ b=20-a\\ \\ b=20-4\\ \\ \boxed{b=16}$