The difference between two numbers is 3. If four times the smaller is divided by the larger, the quotient is 5. Find the numbers.
I am strengthening my math, practicing on my own time. Can you please help me understand how the formula for this problem is created?
Solved: I answered the question using substitution. I chose an equation, then isolated one variable, after Isolating the variable I substituted it into the other equation.
Answer
Let your two numbers be $x$ and $y$, with $x>y$. Then $x-y=3$. We also know that $\frac{4y}{x}=5$.
You can then isolate for either $x$ or $y$ in one of the equations. Then substitute this in the other equation and solve for the remaining variable.
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