To find the two numbers, let’s denote them as x and y.
We have two equations based on the problem:
- Equation 1: x + y = 12
- Equation 2: x – y = 4
Now, we can solve these equations simultaneously.
From Equation 1, we can express y in terms of x:
y = 12 – x
Now, we can substitute this expression for y into Equation 2:
x – (12 – x) = 4
This simplifies to:
x – 12 + x = 4
2x – 12 = 4
Now, adding 12 to both sides gives:
2x = 16
Dividing both sides by 2, we find:
x = 8
Now that we have x, we can find y using Equation 1:
y = 12 – 8 = 4
So the two numbers are:
x = 8 and y = 4.
In conclusion, the two numbers are 8 and 4 where their sum is 12 and their difference is 4.