Sven is thinking of two numbers. The sum is 12. The difference is 4. What are the two numbers?
My mom
x + y = 12
x - y = 4
Usually, you could use substitution to solve, but it would be easier just to add the two equations together and...
2x = 16
x = 8
And if x is 8, then....
y = 4
There for the two numbers are 8 and 4.
8 and 4
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To find the two numbers Sven is thinking of, we can set up a system of equations based on the given information.
Let's call the first number x and the second number y.
From the information given, we know that the sum of the two numbers is 12, so we can write the equation:
x + y = 12 (Equation 1)
We also know that the difference between the two numbers is 4, so we can write the equation:
x - y = 4 (Equation 2)
To solve this system of equations, we can use the method of substitution.
Let's solve Equation 1 for x:
x = 12 - y (Equation 3)
Now, substitute Equation 3 into Equation 2:
(12 - y) - y = 4
Simplify the equation:
12 - 2y = 4
Subtract 12 from both sides:
-2y = -8
Divide both sides by -2:
y = 4
Now that we have the value of y, we can substitute it back into Equation 3 to find the value of x:
x = 12 - y
x = 12 - 4
x = 8
Therefore, the two numbers that Sven is thinking of are 8 and 4.