Two Numbers with a Sum of 48 and a Difference of 6

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 =  27
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 =  21
Therefore, the two Numbers are 27 and 21
Check Sum of the two Numbers:

	2	7
	2	1
	4	8

27 + 21 = 48 ✓
Check Difference between the two Numbers:

	2	7
−	2	1
		6

27 − 21 = 6 ✓