Question 35: Find x, y know \(\begin{array}{l} \frac{x}{5} = \frac{y}{{25}} \end{array}\) and x+y=60

Applying the property of series of equal ratios, we have

\(\begin{array}{l} \frac{x}{5} = \frac{y}{{25}} = \frac{{x + y}}{{5 + 25}} = \frac{ {60}}{{30}} = 2\\ \frac{x}{5} = 2 \Rightarrow x = 10\\ \frac{y}{{25}} = 2 \Rightarrow x = 50 \end{ array}\)