Final answer:
To find the two numbers, we can set up a system of equations. The solution is x = 2 and y = 1.
Step-by-step explanation:
To solve for the two numbers, let's set up a system of equations:
First, we know that the sum of the two numbers is 3, so we can write the equation as:
x + y = 3
Next, we are given that the larger number minus twice the smaller number is zero, so we can write the equation as:
x - 2y = 0
To find the solution, we can use the method of substitution. We solve one equation for one variable and substitute it into the other equation. Solving the first equation for x gives us:
x = 3 - y
Substituting x in the second equation, we get:
3 - y - 2y = 0
Combining like terms:
-3y + 3 = 0
Subtracting 3 from both sides:
-3y = -3
Dividing both sides by -3:
y = 1
Substituting this value of y back into the first equation, we get:
x + 1 = 3
Subtracting 1 from both sides:
x = 2
So, the two numbers are 2 and 1.