Two Numbers with a Sum of 1.1 and a Difference of 0.1

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 =  0.6
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 =  0.5
Therefore, the two Numbers are 0.6 and 0.5
Check Sum of the two Numbers:

	1
	0	.	6
	0	.	5
	1	.	1

0.6 + 0.5 = 1.1 ✓
Check Difference between the two Numbers:

	0	.	6
−	0	.	5
	0	.	1

0.6 − 0.5 = 0.1 ✓