if $\frac{x}{y}=4$ and $\frac{24x}{ny}=4$, what is the value of $n$?

Explanation:

Step1: Rewrite the second - equation

Given $\frac{x}{y}=4$ and $\frac{24x}{ny}=4$. We can rewrite $\frac{24x}{ny}$ as $\frac{24}{n}\times\frac{x}{y}$.

Step2: Substitute $\frac{x}{y}$ value

Since $\frac{x}{y} = 4$, the equation $\frac{24}{n}\times\frac{x}{y}=4$ becomes $\frac{24}{n}\times4 = 4$.

Step3: Solve for $n$

First, divide both sides of the equation $\frac{24}{n}\times4 = 4$ by 4, we get $\frac{24}{n}=1$. Then cross - multiply to find $n = 24$.

Answer:

24