Two Numbers with a Sum of 6,374,000 and a Difference of 2,518,000

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 =  4,446,000
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 =  1,928,000
Therefore, the two Numbers are 4,446,000 and 1,928,000
Check Sum of the two Numbers:

	1		1
	4	4	4	6	0	0	0
	1	9	2	8	0	0	0
	6	3	7	4	0	0	0

4,446,000 + 1,928,000 = 6,374,000 ✓
Check Difference between the two Numbers:

	3	14	3	16
	4	4	4	6	0	0	0
−	1	9	2	8	0	0	0
	2	5	1	8	0	0	0

4,446,000 − 1,928,000 = 2,518,000 ✓