Two Numbers with a Sum of 59 and a Difference of 11

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 =  35
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 =  24
Therefore, the two Numbers are 35 and 24
Check Sum of the two Numbers:

	3	5
	2	4
	5	9

35 + 24 = 59 ✓
Check Difference between the two Numbers:

	3	5
−	2	4
	1	1

35 − 24 = 11 ✓