Two Numbers with a Sum of 24.122 and a Difference of 10.3

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 =  17.211
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 =  6.911
Therefore, the two Numbers are 17.211 and 6.911
Check Sum of the two Numbers:

	1	1
	1	7	.	2	1	1
		6	.	9	1	1
	2	4	.	1	2	2

17.211 + 6.911 = 24.122 ✓
Check Difference between the two Numbers:

		6		12
	1	7	.	2	1	1
−		6	.	9	1	1
	1	0	.	3	0	0

17.211 − 6.911 = 10.3 (trailing zeros are dropped) ✓