Question 46: If \(\dfrac{x}{5} = \dfrac{y}{7}\) and \(x + y = 24\) then:

Applying the property of the series of equal ratios we have:

\(\begin{array}{l}\dfrac{x}{5} = \dfrac{y}{7} = \dfrac{{x + y}}{{5 + 7}} = \dfrac{{24 }}{{12}} = 2\\ + )\,\,\dfrac{x}{5} = 2 \Rightarrow x = 5.2 = 10\\ + )\,\dfrac{y}{7} = 2 \Rightarrow y = 7.2 = 14\end{array}\)