Two Numbers with a Sum of 54 and a Difference of 2

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 =  26
Therefore, the two Numbers are 28 and 26
Check Sum of the two Numbers:

	1
	2	8
	2	6
	5	4

28 + 26 = 54 ✓
Check Difference between the two Numbers:

	2	8
−	2	6
		2

28 − 26 = 2 ✓