Two Numbers with a Sum of 45 and a Difference of 11

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 =  17
Therefore, the two Numbers are 28 and 17
Check Sum of the two Numbers:

	1
	2	8
	1	7
	4	5

28 + 17 = 45 ✓
Check Difference between the two Numbers:

	2	8
−	1	7
	1	1

28 − 17 = 11 ✓