Two Numbers with a Sum of 7 and a Difference of 5

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 =  1
Therefore, the two Numbers are 6 and 1
Check Sum of the two Numbers:

	6
	1
	7

6 + 1 = 7 ✓
Check Difference between the two Numbers:

	6
−	1
	5

6 − 1 = 5 ✓