To find the two numbers, we can set up a system of equations based on the information given in the question.
Let’s denote the two numbers as x and y. According to the problem:
- The sum of the two numbers: x + y = 18
- The difference of the two numbers: x – y = 4
Now, we can solve this system of equations step by step.
1. From the first equation, we can express y in terms of x:
y = 18 – x
2. Next, we can substitute this expression for y into the second equation:
x – (18 – x) = 4
3. Simplifying this gives us:
x – 18 + x = 4
2x – 18 = 4
4. Adding 18 to both sides:
2x = 22
5. Dividing both sides by 2:
x = 11
6. Now that we have the value of x, we can find y using the first equation:
y = 18 – 11 = 7
So, the two numbers are 11 and 7.
In conclusion, the numbers you are looking for are 11 and 7.