Two Numbers with a Sum of 2,305 and a Difference of 237

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 =  1,271
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 =  1,034
Therefore, the two Numbers are 1,271 and 1,034
Check Sum of the two Numbers:

		1
	1	2	7	1
	1	0	3	4
	2	3	0	5

1,271 + 1,034 = 2,305 ✓
Check Difference between the two Numbers:

			6	11
	1	2	7	1
−	1	0	3	4
		2	3	7

1,271 − 1,034 = 237 ✓