Two Numbers with a Sum of 52 and a Difference of 4

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 =  28
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 =  24
Therefore, the two Numbers are 28 and 24
Check Sum of the two Numbers:

	1
	2	8
	2	4
	5	2

28 + 24 = 52 ✓
Check Difference between the two Numbers:

	2	8
−	2	4
		4

28 − 24 = 4 ✓