The sum of two numbers is 14. The difference of the numbers is 2. What are the numbers
See my answer below.
6 and8
To find the two numbers that satisfy the given conditions, we can set up a system of equations and solve them simultaneously.
Let's assume the two numbers are x and y.
From the given information, we can form two equations:
Equation 1: x + y = 14 (The sum of the two numbers is 14)
Equation 2: x - y = 2 (The difference of the two numbers is 2)
Now, we can solve this system of equations to find the values of x and y.
There are different methods to solve a system of equations, such as substitution, elimination, or using matrices. In this case, let's use the method of elimination:
Adding both equations, we get:
(x + y) + (x - y) = 14 + 2
2x = 16
Dividing both sides by 2, we find:
x = 8
Substituting the value of x into Equation 1, we can solve for y:
8 + y = 14
y = 14 - 8
y = 6
Therefore, the two numbers are 8 and 6.