Two Numbers with a Sum of 24 and a Difference of 0

Define variables:
Let x = larger number and y = smaller number
Resulting system of equations:
x + y = Sum
x − y = Difference
Solve the system of equations for x (larger number):
x =  

Sum + Difference/2

Find x by substituting given Sum and Difference into equation for x and simplify:
x =  
x =  
x =  12
Solve the system of equations for y (smaller number):
y =  

Sum − Difference/2

Find y by substituting given Sum and Difference into equation for y and simplify:
y =  
y =  
y =  12
Therefore, the two Numbers are 12 and 12
Note: Since the given Difference equals 0, the two Numbers are equal.  And they are equal to the given Sum divided by 2,   .
Check Sum of the two Numbers:

	1	2
	1	2
	2	4

12 + 12 = 24 ✓
Check Difference between the two Numbers:

	1	2
−	1	2
		0

12 − 12 = 0 ✓