Two Numbers with a Sum of 3,065 and a Difference of 947

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 =  2,006
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 =  1,059
Therefore, the two Numbers are 2,006 and 1,059
Check Sum of the two Numbers:

			1
	2	0	0	6
	1	0	5	9
	3	0	6	5

2,006 + 1,059 = 3,065 ✓
Check Difference between the two Numbers:

		9	9
	1	10	10	16
	2	0	0	6
−	1	0	5	9
		9	4	7

2,006 − 1,059 = 947 ✓