Two Numbers with a Sum of 7 and a Difference of 2.38

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 =  4.69
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 =  2.31
Therefore, the two Numbers are 4.69 and 2.31
Check Sum of the two Numbers:

	1		1
	4	.	6	9
	2	.	3	1
	7	.	0	0

4.69 + 2.31 = 7 (trailing zeros and decimal point are dropped) ✓
Check Difference between the two Numbers:

	4	.	6	9
−	2	.	3	1
	2	.	3	8

4.69 − 2.31 = 2.38 ✓