Two Numbers with a Sum of 200 and a Difference of 31.2

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 =  
200 + 31.2/2

x =  
231.2/2

x =  115.6
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 =  
200 − 31.2/2

y =  
168.8/2

y =  84.4
Therefore, the two Numbers are 115.6 and 84.4
Check Sum of the two Numbers:
111
115.6
+84.4
200.0
115.6 + 84.4 = 200 (trailing zero and decimal point are dropped) ✓
Check Difference between the two Numbers:
011
115.6
84.4
31.2
115.6 − 84.4 = 31.2 ✓

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

Curated Videos