The sum of two numbers is 48. The difference of the two numbers is 4. Find the numbers.

The two numbers are 24 and 24.

x + y = 48

x - y = 4
---------------- add
2 x = 52
x = 26
y = x - 4 = 22

Let's represent the two numbers as "x" and "y".

According to the problem:

1. The sum of the two numbers is 48: x + y = 48.
2. The difference of the two numbers is 4: x - y = 4.

To find the values of x and y, we can solve this system of equations simultaneously. We can use the method of substitution or elimination.

Let's solve this system using the method of substitution:

From equation 1, we have x = 48 - y.

Substituting this value of x into equation 2, we get:

48 - y - y = 4.

Simplifying the equation:

48 - 2y = 4.

Subtracting 48 from both sides:

-2y = 4 - 48,
-2y = -44.

Dividing both sides by -2:

y = -44 / -2,
y = 22.

Now, substitute this value of y back into equation 1:

x + 22 = 48.

Subtracting 22 from both sides:

x = 48 - 22,
x = 26.

Therefore, the two numbers are 26 and 22.

To find the two numbers, let's assign variables to them. Let's call the first number x and the second number y.

According to the information given, we know two things:
1. The sum of the two numbers is 48: x + y = 48
2. The difference between the two numbers is 4: x - y = 4

Now we have a system of two equations with two unknowns. We can solve this system by either substitution or elimination.

Let's solve it using the substitution method:
Step 1: Solve one of the equations for one variable in terms of the other variable.
From the second equation, we have x = y + 4.

Step 2: Substitute the expression for one variable into the other equation.
Replace x in the first equation with y + 4:
(y + 4) + y = 48

Step 3: Simplify and solve for y.
Combine like terms: 2y + 4 = 48
Subtract 4 from both sides: 2y = 44
Divide both sides by 2: y = 22

Step 4: Substitute the value of y back into one of the original equations to solve for x.
Using the first equation, substitute y with 22:
x + 22 = 48
Subtract 22 from both sides: x = 26

Therefore, the two numbers are 26 and 22.