Two Numbers with a Sum of 5 and a Difference of 0.5

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 =  2.75
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 =  2.25
Therefore, the two Numbers are 2.75 and 2.25
Check Sum of the two Numbers:

	1		1
	2	.	7	5
	2	.	2	5
	5	.	0	0

2.75 + 2.25 = 5 (trailing zeros and decimal point are dropped) ✓
Check Difference between the two Numbers:

	2	.	7	5
−	2	.	2	5
	0	.	5	0

2.75 − 2.25 = 0.5 (trailing zero is dropped) ✓