Question

If the same number is subtracted from both the numerator and the denominator of 9/11, the result is 1/2. Find the number. What would the equation be?

Answer 1

Solution

Let the number be x

The equation is

$\frac{9-x}{11-x}=\frac{1}{2}$$\begin{gathered} \Rightarrow2(9-x)=11-x \\ \\ \Rightarrow18-2x=11-x \\ \\ \Rightarrow18-11=-x+2x \\ \\ \Rightarrow x=7 \end{gathered}$

Therefore, the number is 7