# Consider the equation k/x=12 where k is any number between 20 and 65 and x is a positive integer. What are the possible values of x?

Dec 2, 2016

The possible values of $x$ are $2 , 3 , 4 , 5$.

#### Explanation:

$\frac{k}{x} = 12 \mathmr{and} 12 x = k$, "k" lies between $20 \mathmr{and} 65$

So $20 \le 12 x \le 65 \mathmr{and} \frac{20}{12} \le x \le \frac{65}{12} \mathmr{and} \frac{5}{3} \le x \le \frac{65}{12}$

"x" lies between $\frac{5}{3} \mathmr{and} \frac{65}{12}$. But x is a positive integer
So $2 \le x \le 5$

The possible values of $x$ are $2 , 3 , 4 , 5$ [Ans]