Two Numbers with a Sum of 5.9 and a Difference of 1.3

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 =  
5.9 + 1.3/2

x =  
7.2/2

x =  3.6
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 =  
5.9 − 1.3/2

y =  
4.6/2

y =  2.3
Therefore, the two Numbers are 3.6 and 2.3
Check Sum of the two Numbers:
3.6
2.3
5.9
3.6 + 2.3 = 5.9 ✓
Check Difference between the two Numbers:
3.6
2.3
1.3
3.6 − 2.3 = 1.3 ✓

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

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