Question

Find the ratio of x to y :$\frac{4}{y}+\frac{3}{x}=44$

Short answer

The required answer is$x:y=5:8$ .

Step-by-step solution

Step 1. Given information.        

$\begin{array}{c}\frac{4}{y}+\frac{3}{x}=44\\ \frac{12}{y}-\frac{2}{x}=44\end{array}$

Step 2. Concept used.

Both equations have same value 44

So, we can equate both the equations.

Step 3. Equate the two equations.

Find the required ratio.

$\begin{array}{c}\frac{4}{y}+\frac{3}{x}=\frac{12}{y}-\frac{2}{x}\\ \frac{12}{y}-\frac{4}{y}=\frac{3}{x}+\frac{2}{x}\\ \frac{12-4}{y}=\frac{3+2}{x}\\ \frac{8}{y}=\frac{5}{x}\\ \frac{x}{y}=\frac{5}{8}\end{array}$

Therefore, the final answer is$x:y=5:8$ .