Two Numbers with a Sum of 49 and a Difference of 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 =  25
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 25 and 24
Check Sum of the two Numbers:

	2	5
	2	4
	4	9

25 + 24 = 49 ✓
Check Difference between the two Numbers:

	2	5
−	2	4
		1

25 − 24 = 1 ✓