Two Numbers with a Sum of 11 and a Difference of 1

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 =  6
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 =  5
Therefore, the two Numbers are 6 and 5
Check Sum of the two Numbers:

	1
		6
		5
	1	1

6 + 5 = 11 ✓
Check Difference between the two Numbers:

	6
−	5
	1

6 − 5 = 1 ✓