Two Numbers with a Sum of 5,981 and a Difference of 531

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 =  
5,981 + 531/2

x =  
6,512/2

x =  3,256
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 =  
5,981 − 531/2

y =  
5,450/2

y =  2,725
Therefore, the two Numbers are 3,256 and 2,725
Check Sum of the two Numbers:
1
3256
2725
5981
3,256 + 2,725 = 5,981 ✓
Check Difference between the two Numbers:
212
3256
2725
531
3,256 − 2,725 = 531 ✓

The solution above and other related solutions were provided by the Find two Numbers given Sum and Difference Application.

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