The sum of two integers is 9. Their difference is 5. What are the two integers.
Let's call the two integers x and y.
According to the problem, the sum of the two integers is 9, so we can write the equation:
x + y = 9 ----(1)
Also, the difference between the two integers is 5, so we can write the equation:
x - y = 5 ----(2)
Now, we have a system of two equations with two variables.
To solve this system, we can use the method of elimination.
By adding both equations, we can get rid of the y term:
(x + y) + (x - y) = 9 + 5
2x = 14
Dividing both sides by 2:
x = 7
Substituting the value of x into equation (1):
7 + y = 9
y = 9 - 7
y = 2
Therefore, the two integers are 7 and 2.