Two Numbers with a Sum of 7,809 and a Difference of 765

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 =  4,287
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 =  3,522
Therefore, the two Numbers are 4,287 and 3,522
Check Sum of the two Numbers:

		1
	4	2	8	7
	3	5	2	2
	7	8	0	9

4,287 + 3,522 = 7,809 ✓
Check Difference between the two Numbers:

	3	12
	4	2	8	7
−	3	5	2	2
		7	6	5

4,287 − 3,522 = 765 ✓