Two Numbers with a Sum of 1,953 and a Difference of 861

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 =  1,407
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 =  546
Therefore, the two Numbers are 1,407 and 546
Check Sum of the two Numbers:

			1
	1	4	0	7
		5	4	6
	1	9	5	3

1,407 + 546 = 1,953 ✓
Check Difference between the two Numbers:

		13
	0	3	10
	1	4	0	7
−		5	4	6
		8	6	1

1,407 − 546 = 861 ✓