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 4yx=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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