Sven is thinking if two numbers. The sum is 12 . The difference is 4. What are the two numbers
4 and 8
To find the two numbers that Sven is thinking of, we can set up a system of equations based on the given information.
Let's represent the two numbers as x and y.
According to the given information, the sum of the two numbers is 12:
x + y = 12 ...(Equation 1)
And the difference between the two numbers is 4:
x - y = 4 ...(Equation 2)
To find the values of x and y, we can solve these two equations simultaneously.
One way to do this is by using the method of substitution. Solve Equation 2 for x in terms of y:
x = y + 4
Now substitute this expression for x in Equation 1:
(y + 4) + y = 12
Combine like terms:
2y + 4 = 12
Subtract 4 from both sides:
2y = 8
Divide both sides by 2:
y = 4
Now substitute this value of y back into Equation 2 to find x:
x - 4 = 4
Add 4 to both sides:
x = 8
Therefore, the two numbers that Sven is thinking of are 8 and 4.